Answer:
The linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven is 0.05*x + 20 and the cost of renting the truck if the truck is driven 107 miles is 25.35.
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = y = m*x + b
where m is the slope of the function and b is the y-intercept.
The graph of a linear function is always a line.
A truck rental company rents a moving truck for one day by charging $20 plus $0.05 per mile. So, the number of miles travel is represented by "x" and the cost per mile is represented by "c". The y-intercept is the starting cost at zero miles or $20. The slope is the rate per mile or $0.05. Then:
c= 0.05*x + 20
If the truck is driven 107 miles, then:
c= 0.05* 107 + 20
Solving:
c= 25.35
So, <u><em>the linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven is 0.05*x + 20 and the cost of renting the truck if the truck is driven 107 miles is 25.35.</em></u>
