The P - intercept of the equation is 28
<em><u>Solution:</u></em>
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