Question

HELP ASAP!!! Carter is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let P represent Carter's total pay on a day on which he sells a computers. The table below has select values showing the linear relationship between x and P. Determine the base pay Carter makes regardless of computer sales.​

Answer 1

90

Explanation:

Given the linear relationship pairs (x, P) = (1, 100), (3, 120), (7, 160), you want to know the value of P when x = 0.

Slope

The slope of this linear function can be found from ...

m = (P2 -P1)/(x2 -x1)

m = (120 -100)/(3 -1) = 20/2 = 10

Intercept

The value of P when x=0 can be found from ...

P = mx +b

b = P -mx = 100 -10(1) = 90

Carter's base pay is 90, regardless of computer sales.

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Additional comment

Carter's daily pay is ...

P = 10x +90

He makes 10 on every sale, added to his base pay of 90.

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