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Chapter 4: Q. 337 (page 521)

The equation P=28+2.54wmodels the relation between the amount of Randy's monthly water bill payment, Pin dollars, and the number of units of water, w, used.

(a) Find the payment for a month when Randy used 0units of water.

(b) Find the payment for a month when Randy used 15units of water.

(c) Interpret the slope and P-intercept of the equation.

(d) Graph the equation.

Short Answer

Expert verified
  1. The payment for a month when Randy used 0units of water is $28.
  2. The payment for a month when Randy used 15units of water is $66.1.
  3. The slope mean that when the number of water units used is 1 , then the Randy's payment increases by $2.54. The P-intercept implies that at 0water units, the payment is $28.
  4. Graph:

Step by step solution

01

Given information

The given equation is P=28+2.54w.

02

Determine the y-intercept.

Substitute 0 for w in the given function.

P=28+2.54(0)=28

Substitute 15for win the given function.

P=28+2.54(15)=66.1

03

Interpret the slope and intercept and then graph the given equation.

Compare the given equation with y=mx+bwhere mbe the slope and bbe the y-intercept.

m=2.54and b=28

The graph of the given function:

04

Write the conclusion.

  1. The value of Pis $28.
  2. The value of Pwhen x=15is $66.1.
  3. The slope is 2.54and P-intercept is $28.
  4. The graph of the given function is shown below:

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