The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. The function frepresents the cost of renting the tractor. The function g represents the cost if the hourly rate were doubled.

Wite each function

b. How would the slope and y-intercept of the graph g compare to the slope and y-intercept of the graph off?

a Lex be the hours that the tractor is rented. What is the function f?

Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)

a. f (h) = 100 + mh and g (h) = 100 + 2mh

b. The slope of g (h) is double of slope of f (h).

c. f (x) = 100 + mx.

Step-by-step explanation:

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. If the hourly rate is $m per hour, then the function f (h) represents the cost of renting the tractor for h hours, then

f (h) = 100 + mh ... (1)

If the hourly rate is doubled i. e. 2m, then the function g (h) represents the cost of renting the tractor for h hours, then

g (h) = 100 + 2mh ... (2)

b. If we graph the function f (h) then the slope of the equation will be m and the y-intercept will be 100.

If we graph the function g (h) then the slope of the equation will be 2m and the y-intercept will be 100.

Therefore, in the case of g (h), the slope will be double the slope of f (h).

c. If the tractor is rented for x hours, then the function f (h) will be

f (x) = 100 + mx. (Answer)