Question

Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years:


Year 1 2
Value (in dollars) 47,158.35 41,027.76

Which function best represents the value of the cement mixer after t years?
f(t) = 47,158.35(0.87)t
f(t) = 54,205(0.13)t
f(t) = 47,158.35(0.13)t
f(t) = 54,205(0.87)t

Answer 1

The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows:

y = 4 + 2x

What does the slope of this function represent?

The original height of the plant was 4 mm.
The original height of the plant was 2 mm.
The height of the plant increases by 2 mm for every hour of sunlight it receives.
The height of the plant increases by 4 mm for every hour of sunlight it receives.

Answer 2

The correct function that represents the value of the cement mixer after t years is:

f(t) = 47,158.35(0.87)t

Answer 3

The slope of the function represents the rate of change or the increase in height for every increase of 1 in the number of hours the plant is kept in sunlight.

In this case, the slope is 2, which means that the height of the plant increases by 2 mm for every hour of sunlight it receives.

So, the correct answer is: The height of the plant increases by 2 mm for every hour of sunlight it receives.