To determine the cost of a pizza, the pizza parlor considers the diameter of the pizza, the number of toppings, and the amount of cheese. Which of the following is the dependent variable?
A. Amount of pizza
B. Dimeter of the pizza
C. Cost of the pizza
D. Number of toppings
We are asked to find the dependent variable from the given scenario. A dependent variable is one which varies with another variable. In this case, the cost of the pizza will change with the change in diameter of the pizza, number of toppings, and amount of cheese. In other words, the cost of the pizza depends on the three variables.
Therefore, cost is the dependent variable while the diameter of the pizza, number of toppings and amount of cheese are independent variables.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Soft Drinks Orange: Two 24-packs for $18; one 24-pack for $10 Root Beer: One 24-pack for $12 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 packs of Orange and 1 pack of Cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 5 packs of cream Soda
Answer Explanation
To find the cost-effective option, we need to find how much the consumer will spend for the given options:
2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23
3 Packs of Orange will cost $18+$10=$28
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29
5 packs of cream Soda will cost 5($5)=$25
From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
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Q #2: Which of the following is the value of x in the equation below
A. x= -1/2 or x=3/2
B. x= -1 or x=2
C. x =-2 or x= 1
D. x= -3/2 or x= 1/2
Answer Explanation
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
, a>0, then u=a or u=-aIn this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -1 or 2.
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Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many as nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
A. 4 times as many
B. 5 times as many
C. 20 times as many
D. 10 times as many
Answer Explanation
In this problem, we need to compare the number of dimes to quarters.
If we let n be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2n
Number of nickels in the bottle = 4n
Number of dimes in the bottle =5(4n)=20n
Now relating dimes to quarters, we have
Thus, there are 10 times as many dimes as quarters in the box.
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Q #4: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.5 feet above the sidewalk?
A. 25 feet
B. 145 feet
C. 32.5 feet
D. 30 feet
Answer Explanation
The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,
Cross-multiply to find the value of x
Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.
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Q #5: -2/3, -0.7, -1.3, -4/3 Of the number listed above, which number is the greatest?
A. -2/3
B. -0.7
C. -1.3
D. -4/3
Answer Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
-0.7 becomes 7/10
-1.3 becomes 13/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.
-2/3*30=-20
-7/10*30=-70
-13/10*30=-39
-4/3*30=-40
Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.
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Q #6: A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?
A. 5/12
B. ¼
C. ½
D. 1/3
Answer Explanation
The probability of an event is determined by the relation
Finding the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a red ball from the bag is 1/3.
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Q #7: A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
A. 6 ¾ cups
B. 5 5/8 cups
C. 10 1/8 cups
D. 4 ¾ cups
Answer Explanation
We are asked to find the number of cups of flour that will be used to make 90 cookies.
Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have
Solve the value of x by cross-multiplying
We convert the mixed fraction into improper fraction in order to carry out multiplication
\(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)
The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).
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Q #8: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 5x
B. A = 2x+2(x+5)
C. A = x(x+5)
D. A = x+(x+5)
Answer Explanation
We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.
Length of rectangle=(x+5)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+5)*x
A=x(x+5)
Thus, the area of the rectangle is x(x+5).
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Q #9: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb=1 kg)
A. 52.2 lb
B. 22.7 lb
C. 110 lb
D. 220 lb
Answer Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
The value of x is 110 lb.
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Q #10: A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
A. 20%
B. 13%
C. 11%
D. 9%
Answer Explanation
The question requires us to find the percentage change in weight of a person.
First, we need to find the change in weight over the 3 months
Change in weight= 180-160=20 lb
Percent change in weight is change of original weight *100. Thus
The percent change in weight is 11% to the nearest whole number.
