Question #88e13c8c - SAT Suite Question Bank

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Test
Math

Domain
Algebra

Skill
Linear functions

Difficulty
Easy

ID: 88e13c8c

Modded SAT Question Bank by Abdullah Mallik

The total cost $f (x)$ , in dollars, to lease a car for $36$ months from a particular car dealership is given by $f (x) = 36 x + 1,000$ , where $x$ is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $dollar sign 400$ ?

$dollar sign 13,400$
$dollar sign 13,000$
$dollar sign 15,400$
$dollar sign 37,400$

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Correct Answer: C

Rationale

Choice C is correct. It's given that $f (x)$ is the total cost, in dollars, to lease a car from this dealership with a monthly payment of $x$ dollars. Therefore, the total cost, in dollars, to lease the car when the monthly payment is $dollar sign 400$ is represented by the value of $f (x)$ when $x equals 400$ . Substituting $400$ for $x$ in the equation $f (x) = 36 x + 1,000$ yields $f (400) = 36 (400) + 1,000$ , or $f left parenthesis 400 right parenthesis equals 15,400$ . Thus, when the monthly payment is $dollar sign 400$ , the total cost to lease a car is $dollar sign 15,400$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Easy

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