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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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