Question

You water the plants in your classroom at a constant rate. After 5 seconds, your watering can contains 58 ounces of water. Fifteen seconds later, the can contains 28 ounces of water.

a. Write an equation in slope-intercept form that represents the amount y
(in ounces) of water in the can after x
seconds.

equation: y=


b. How much water was in the can when you started watering the plants?

There were
ounces in the can.

c. When is the watering can empty?

The watering can is empty after
seconds.

Answer 1

a. -3x +73

b. 73 ounces

c. 24.33 seconds

Explanation:

a.

`m=(28-58)/(15-5)\\m=-3\\\\y=mx+c\\58=-3(5)+c\\58=-15+c\\c=58+15\\c=73\\\\y=-3x+73`

b.

`y=-3(0)+73\\y=73`

c.

`0=-3x+73\\-3x=0-73\\x=(-73)/(-3)\\x=24.33`