Question

Cindy is buying a water pump. The box for Pump A claims that it can move 48 gallons per minute. Thefunction A(t) represents the amount of water (in gallons) Pump A can move after t minutes. The graph ofB(t) shows the amount of water in gallons that Pump B can move after t minutes.Enter a rule for each function A and B, and then compare their domains, ranges, slopes, and y-intercepts.

Answer 1

The rule of the function A(t) is A(t)= 48*t

For the second function we need to calculate the slope of the line with points (0,0) and (20,820)

`m=(y2-y1)/(x2-x1)=(820-0)/(20-0)=(820)/(20)=41`

So, The rule of the function B(t) is B(t)= 41*t

The domain of the function A(t) is : [ 0, ∞ +)

The domain of the function B(t) is : [ 0, ∞ +)

The range of the function A(t) is : [ 0, ∞ +)

The range of the function B(t) is : [ 0, ∞ +)

The slope of the A(t) is greater than the slope of B(t) ( 48 is greater than 41)

The y-intercept of the A(t) is equal to the the y-intercept of B(t)