Question

a crane is lowering a concrete block from a height of 180 feet above the ground at a constant rate of 1.5 feet per second. which function can be used to determine h, the height, in feet, above the ground of the concrete block after s seconds?
$h = 1.5 - 180s$
$h = 180 + 1.5s$
$h = 180 - 1.5s$
$h = 180s + 1.5$

Explanation:

Step1: Identify initial height

The initial height of the block is 180 feet, so this is the starting value of the function.

Step2: Calculate distance lowered

The block descends at 1.5 ft/s, so after $s$ seconds, distance lowered is $1.5s$.

Step3: Formulate height function

Subtract the distance lowered from the initial height to get current height $h$.
$h = 180 - 1.5s$

Answer:

h = 180 - 1.5s