Question

Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation y=400+32x . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per minute in the amount of water in the pond? What was the starting amount of water in the pond?

Answer 1

Answer:

1. 32
2. 400

Step-by-step explanation:

Lets start by defining the numbers in the equation.

This  equation is in slope-intercept form meaning that it is y=mx+b or y = b+mx they are both the same

In slope-intercept form,

• m = slope or rate
• and b = y-intercept

Th equation is y=400+32x so now we know

• b=400
• and m=32

For the first question the change per minute is the rate so it is 32.

For the second question the starting amount is the same as the y-intercept so it is 400.