Question

Denise built a storage shed. To cut the wood, she rented a large electric saw. The equation y = 15x + 12 represents the cost, y, to rent the saw for x days.Explain what the slope and y-intercept of the equation represent in this situation.

A. It costs $12 to rent the saw plus $15 for each day you keep it

.B. It costs $15 to rent the saw plus $12 for each day you keep it.

C. It costs $15 to rent the saw, and Denise kept the saw for 12 days.

D. It costs $12 to rent the saw, and Denise kept the saw for 15 days

Answer 1

The answer is A, because x represents the number of day you keep it. 

Answer 2

A is correct.

Explanation:

Denise built a storage shed. To cut the wood, she rented a large electric saw.

The equation y = 15x + 12 represents the cost, y, to rent the saw for x days.

We will compare the equation with y=mx+b

where, m is slope (rate of change)

b is y-intercept.

y=mx+b

y=15x+12

For given equation, slope is 15 (because x represents number of days to use saw)

Denise pays each day $15 for saw.

y-intercept , 12

It means rent of saw should be $12.

Hence, It costs $12 to rent the saw plus $15 for each day you keep it