SAT question 84664a7c (Linear Functions)

Question

The front of a roller-coaster car is at the bottom of a hill and is $15$ feet above the ground. If the front of the roller-coaster car rises at a constant rate of $8$ feet per second, which of the following equations gives the height $h$ , in feet, of the front of the roller-coaster car $s$ seconds after it starts up the hill?

90

Difficulty:Easy

A

$h = 8 s + 15$

B

$h = 15 s + \frac{335}{8}$

C

$h = 8 s + \frac{335}{15}$

D

$h = 15 s + 8$

College Board · Accepted Answer

The correct answer is A. Choice A is correct. It's given that the front of the roller-coaster car starts rising when it's 15 feet above the ground. This initial height of 15 feet can be represented by a constant term, 15 , in an equation. Each second, the front of the roller-coaster car rises 8 feet, which can be represented by 8s . Thus, the equation h = 8s + 15 gives the height, in feet, of the front of the roller-coaster car s seconds after it starts up the hill.

Explanation

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Why the other choices are wrong

SAT Question 84664a7c: Linear Functions answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong