Determine the initial value and the rate of change in the following description. A 2,000-gallon tank is half full with 1,000 gallons of water. Water is being pumped into the tank at a rate of 15 gallons per minute.(1 point)

Question

The initial value is b=, and the rate of change is m=.

Answer 1

The initial value is b= 1,000 gallons, the amount of water in the tank initially. The rate of change is m= 15 gallons per minute, the rate at which water is being pumped into the tank.

Answer 2

Use the table to answer the question.

x y
1 4
−3 8
Find the rate of change and the initial value of the linear function given as a table of values.

(1 point)
The rate of change is m=, and the initial value is b=.

Answer 3

To find the rate of change, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the values from the table:
m = (8 - 4) / (-3 - 1)
m = 4 / -4
m = -1

So, the rate of change is m = -1.

To find the initial value, we can use the formula for the equation of a line:

y = mx + b

Using the point (1, 4) and the rate of change m = -1, we can solve for the initial value b:

4 = (-1)(1) + b
4 = -1 + b
b = 5

So, the initial value is b = 5.

Answer 4

Use the image to answer the question.

Determine the initial value and the rate of change of the linear function given in the graph. 

(1 point)
The initial value is , and the rate of change is .

Answer 5

Without being able to see the image or the specific values on the graph, I'm unable to determine the initial value and rate of change for the linear function given in the graph. If you could provide more specific information or data points from the graph, I'd be happy to help you determine the initial value and rate of change.