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Test
Math
Domain
Advanced Math
Skill
Nonlinear equations in one variable and systems of equations in two variables
Difficulty
Hard
ID: f2f3fa00
Modded SAT Question Bank by Abdullah Mallik

During a 5-second time interval, the average acceleration a, in meters per second squared, of an object with an initial velocity of 12 meters per second is defined by the equation a equals, the fraction with numerator v subscript f, end subscript, minus 12, and denominator 5, where vf is the final velocity of the object in meters per second. If the equation is rewritten in the form vf = xa + y, where x and y are constants, what is the value of x ?

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Correct Answer:
Rationale

The correct answer is 5. The given equation can be rewritten in the form v subscript f equals, x a, plus y, like so:

a, equals, the fraction with numerator v subscript f, end subscript, minus 12, and denominator 5

v subscript f, end subscript, minus 12, equals 5 a

v subscript f equals, 5 a, plus 12

It follows that the value of x is 5 and the value of y is 12.

Question Difficulty: Hard
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