The equation P=28+2.54w models the relation between the amount of Randy's monthly water bill payment, P, in dollars, and the number of units of water, w, used. Interpret the P-intercept of the equation.

The P - intercept of the equation is 28

Solution:

Given equation models the relation between amount of Randy's monthly water bill payment and number of units of water used

P = 28 + 2.54w

Where,

"P" is the monthly water bill payment in dollars

"w" is the number of units of water used

Compare this equation with slope intercept form

Slope intercept form: y = mx + c

Where "m" is the slope of line and "c" is the y intercept

Therefore in given equation, P = 28 + 2.54w

2.54 is the slope and 28 is the P - intercept

The slope, 2.54, means that Randy's payment increases by $2.54 when the number of units of water he used increases by 1

When "w" increases by 1, then P increases by $ 2.54

The P - intercept means that if the number units of water Randy used was 0, the payment would be $28

When w = 0,

P = 28 + 0

P = $ 28

Thus the P - intercept determines the monthly payment bill

The slope, 2.54, means that Randy's monthly water bill payment increases by 2.54 dollars for each unit of water used.