Answer:
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)
