Question f-x-14

1.2 Linear Equations in One Variable - Word problems → single variable
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f(x)=14+4x

The function f represents the total cost, in dollars, of attending an arcade when x games are played. How many games can be played for a total cost of $58?

Enter your answer:

f ( x ) = 14 + 4 x The function f represents the total cost,

Medium-difficulty · SAT Math · Linear Equations in One Variable — Word problems → single variable. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 11 . It’s given that the function fx=14+4x represents the total cost, in dollars, of attending an arcade when x games are played. Substituting 58 for fx in the given equation yields 58=14+4x. Subtracting 14 from each side of this equation yields 44=4x. Dividing each side of this equation by 4 yields 11 = x . Therefore, 11 games can be played for a total cost of $58.