The force applied is directly proportional to the stretch of a coil. If a force of 132 Newtons stretches a coil 0.07 meters, what force would be needed to stretch a coil 0.1 meter? Round your answer to the nearest tenth.
A. 92.4 Newtons
B. 1885.7 Newtons
C. 188.6 Newtons
D. 136.0 Newtons
In direct proportion relation, we utilize the relationship as:
Variable∝
Variable 2
Thus from the given case,
Force∝ stretch
We introduce a constant term, K to remove the sign of proportionality as
Force=K* stretch
Let’s find the value of K, using Force=132 N and stretch of 0.07 m
132 N=K*0.07 m
K=132 N/0.07 m=1885.7 N/m
Now substitute this value of K in the following equation
Force=1885.7 N/m * stretch
For a stretch of 0.1 m, the force needed is
Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?
A. Amount of tuition
B. Number of credit hours
C. Amount of access fees
D. Number of student loans available
Answer Explanation
Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.
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Q #2: A sport utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant proportionality of miles per gallon?
A. 372.4
B. 13.8
C. 27.6
D. 5,409.6
Answer Explanation
The constant of proportionality is the distance traveled divided by gallons of gas consumed
Constant of proportionality = 386.4 miles/14 gallons = 27.6 miles per gallon.
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Q #3: There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?
A. 336
B. 152
C. 144
D. 168
Answer Explanation
100% represents total students four allied health program. Thus, 100%=800 students, and 19% joins respiratory care program is
Thus, 152 students joined the respiratory care program.
