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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 x 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.

User Matt Weber
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Final answer:

The base pay Carter makes regardless of computer sales is $70.

Step-by-step explanation:

To determine the base pay Carter makes regardless of computer sales, we need to find the y-intercept of the linear relationship between x and P.

In the table, we can see that when x=0 (no computer sales), P=70. So, the y-intercept is 70.

Therefore, the base pay Carter makes regardless of computer sales is $70.

User Lukszar
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Carter is a salesperson who sells computers at an electronics store.

He gets paid a base pay amount each day and a commission for every computer sale he makes.

Carter's total pay on a day depends on the number of computers he sells, represented by x.

The relationship between x and Carter's total pay, represented by P, is linear.

linear means the graph is a straight line, not a curve

A table with select values of x and P is given.

The task is to determine Carter's base pay regardless of computer sales.

Table of select values of x and P:

x P

0 30

1 40

2 50

3 60

4 70

5 80

To determine Carter's base pay, we need to identify the amount he earns when he doesn't sell any computers, represented by x = 0. Looking at the table, we see that when x = 0, Carter's total pay is $30. Therefore, his base pay is $30.

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User Costas
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