The cost of a heating repair service includes a flat service call fee as well as the cost for h

Question

hours of labor. The function f(h) = 80h + 59
models the total cost of the heating repair service, where H > 0
.

What does 80
represent in the function f (h)
?

Answer 1

In the function \( f(h) = 80h + 59 \) that models the total cost of the heating repair service, the term \( 80h \) indicates the labor cost per hour. Specifically, \( 80 \) represents the hourly rate charged for labor. Therefore, for every hour \( h \) of labor, the cost contribution from labor to the total bill is \( 80h \).

In summary, \( 80 \) is the hourly labor rate in dollars.

Answer 2

These are the answers,

the y -intercept of the function and the flat service call fee

the y -intercept of the function and the cost per hour of labor

the slope of the function and the flat service call fee

the slope of the function and the flat service call fee

the slope of the function and the cost per hour of labor

Answer 3

In the function \( f(h) = 80h + 59 \):

• The y-intercept is the value of the function when \( h = 0 \), which is \( 59 \). This represents the flat service call fee.
• The slope of the function is the coefficient of \( h \), which is \( 80 \). This represents the cost per hour of labor.

So, the correct interpretation for \( 80 \) in the function is that it represents the slope of the function and the cost per hour of labor.

Therefore, the correct answer is:

the slope of the function and the cost per hour of labor.