CAN SOMEBODY HELP ME WITH THIS PLEASE

Explanation:

To find the rate of change, we'll need to find the slope.

Focus on Marisol's data table. Let's pick the first two rows to see that

(x1,y1) = (2,12)

(x2,y2) = (3,18)

The slope through these points is

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

m = (18-12)/(3-2)

m = 6/1

m = 6

So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.

Now move onto Timothy's table

Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.

(x1,y1) = (4,36)

(x2,y2) = (6,54)

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

m = (54-36)/(6-4)

m = 18/2

m = 9

Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.

To summarize, we have these rates

Zorian's rate must be between 6 and 9 oz per hour.

So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.

Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.

So that's why y = 8x is the answer.

Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared