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Lena [83]
3 years ago
5

Joshua currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups un

til he is doing a total of 30 pushups each day. How many days would this take? Use x to represent days.
Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

x=12

Step-by-step explanation:

Let y equal number of pushups a day. When x = 1, y = 8. When x = 2, y = 10. 10 is a factor of 30. Multiply y by 3. However, since x increases by 1 when y increases by 2, multiply x by 6 (2*3). That equals 12. Therefore, when x = 12, y = 30.

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First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c.

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Start from the point farther down, the point on (5,0). Look and see how many units it takes to go up/down to where the point on (0,3) is.

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Since you have the slope and can see the y-intercept of the graphed line, you can make the equation y = mx+b by plugging in -3/5 for the slope and plugging in 3 for b (y-intercept).

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Remove the parentheses: y = -3/5x+3.

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Add -3/5x to both sides.

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3x+5y = 15

Answer is:

C. 3x+5y = 15

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