Question

20 POINTS PLEASE HELP QUICKLY!!

Answer 1

Answer:

They will each have saved $70.

Jessica is saving at a faster rate than Raphael.

The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.

Step-by-step explanation:

The formula for Jessica’s savings is

y = 10x + 20

She is saving at the rate of $10/wk .

From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.

The formula for Raphael’s savings is

y = 6x +40

When the two savings are equal

10x + 20 = 6x + 40     Subtract 20 from each side

       10x = 6x + 20     Subtract 6x from each side

        4x = 20              Divide each side by 4

          x = 5

Their savings will be equal after five weeks.

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After five weeks , Jessica will have saved

y = 10×5 + 20  

y = 50 + 20

y = $70

Raphael has also saved $70.

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Jessica is saving at a faster rate than Raphael.

She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.

The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.

The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.