Elyce enlarged an 8 in by 6 in picture by increasing both side lengths by a factor of
1.75. She also has a 4 in by 8 in picture
that she enlarged by increasing both side
lengths by a factor of 2. What is the
difference in the area of the two pictures?

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Ответ:

cathyfrawley

09.11.2021

Mathematics

Step-by-step explanation:

to find the slope, we can take any two points, and find the slope between then

e.g.

(0, -3) and (20, 2) => $m = \frac{y_2-y_1}{x_2-x_1} = \frac{2-(-3)}{20-0} = \frac{1}{4}$

now we can test other points, and if the slopes are consistent, we can determine the overall slope

(4, -2) and (16, 1) => $m = \frac{y_2-y_1}{x_2-x_1} = \frac{1-(-2)}{16-4} = \frac{1}{4}$

(8, -1) and (12, 0) => $m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-(-1)}{12-8} = \frac{1}{4}$

yep, it's consistent

the slope is $\frac{1}{4}$

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Elyce enlarged an 8 in by 6 in picture by increasing both side lengths by a factor of 1.75. She also has a 4 in by 8 in picture that she enlarged by increasing both side lengths by a factor of 2. What is the difference in the area of the two pictures?