1 question pls help me

7/45 m(to the second power)

Step-by-step explanation:

7/45 m²

Step-by-step explanation:

→ Multiply the 2 lengths together

1/5 × 7/9 = 7/45

Part A

Pick any two rows to form (x,y) points. I'll pick the first two rows. Use those two points to find the slope

(x1,y1) = (0,325) and (x2,y2) = (5,400)

m = (y2 - y1)/(x2 - x1)

m = (400 - 325)/(5 - 0)

m = 75/5

m = 15

The slope is 15

Interpretation: The balance is increasing by 15 dollars per day.

The slope of 15/1 means rise = 15 and run = 1. A rise of 15 indicates the balance goes up by 15, which combines with "run = 1" to indicate the day has increased by 1.

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Part B

Point-Slope form

Plug in m = 15 (found back in part A) along with . You can use any point found in the table, though for me, its just simplest to go with the first row.

So we have,

as a point-slope equation.

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Solve for y to get that equation into slope-intercept form

The equation is in slope intercept form y=mx+b where m = 15 is the slope and b = 325 is the y intercept. The y intercept is the starting amount. The y intercept always pairs with x = 0.

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Convert the slope-intercept form to standard form Ax+By = C.

It is now in the form Ax+By = C, where

A = 15, B = -1, C = -325

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Part C

All we do is replace y with g(x) in the slope intercept form.

So y = 15x+325 turns into g(x) = 15x+325

Normally I would use f(x), but the table shows g(x) so I'll go with that instead.

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Part D

Plug x = 12 into the function found in part C.

The balance after 12 days is 505 dollars.