Question

The cost in dollars to rent a blackhoe for h hours can be represented by the c=75h+50.

Vertical intercept is (0,50) (a) Explain it’s meaning in regards to renting a blackhoe for _____ hours would cost ____. This is not impossible.
(b) Find the horizontal intercept. (______)
Explain its meaning in regards to renting a blackhoe.(include units)

Renting a blackhoe for _____ hours will cost ________. This is not impossible.

Answer 1

a) (0, 50); 0 hours cost $50; not impossible

b) (-2/3, 0); -2/3 hours cost $0; impossible

Explanation:

a)

The ordered pair (h, c) tells you the cost (c) of renting a backhoe for h hours. The ordered pair (0, 50) is the vertical intercept. It tells you the cost of renting the backhoe for 0 hours is 50 dollars.

__

b)

The horizontal intercept is the value ordered pair where c=0. It can be found by solving the equation for c=0:

c = 75h +50

0 = 75h +50

-50 = 75h . . . . . . subtract 50

-2/3 = h . . . . . . . . divide by 75

The horizontal intercept is (-2/3, 0). It tells you the cost of renting the backhoe for -2/3 hours is 0 dollars (free). We generally consider this to be impossible.