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NEED HELP WITH WHATS IN PICTURE!

NEED HELP WITH WHATS IN PICTURE!-example-1
User Abhishek Bhardwaj
by
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1 Answer

27 votes
27 votes

Answer:

(b) y = 4x +15; y = 10x -2

Explanation:

It is often sufficient to check for reasonableness in the offered answers. That is the case here.

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The offered answer choices differ in the combinations of slope. The offered slopes (x-coefficients) are 4 or 1/4, 10 or 1/10, so it is sufficient to determine if the slope is greater than 1 in each case.

The slope is the ratio of the change in y to the change in x. It will be greater than 1 if y changes by a larger number than x does.

1st Table

x-values in this table change by 4-2 = 2. y-values change by 31 -23 = 8, which is more than 2. The slope is greater than 1 for the first equation. (It is 8/2 = 4.)

2nd Table

The first two x-values in this table differ by 0-(-1) = 1. The first two y-values differ by -2-(-12) = 10, which is more than 1. The slope is also greater than 1 for the second equation. (It is 10/1 = 10.)

Answer choices

The x-coefficients in the answer choices are ...

a) 1/14, 1/10 . . . incorrect

b) 4, 10 . . . . correct

c) 1/4, 10 . . . . partly correct

d) 4, 1/10 . . . . partly correct

User Corey Ballou
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2.8k points