Question

20 POINTS PLEASE HELP QUICKLY!!

Jessica and Raphael are saving money for concert tickets. Each friend starts with an amount and also saves a specific amount each week Jessica came up with the following equation to show the total ,y, she has saved at the end of each week ,X,
Y=10x+20
Raphael created a table to show the total he has saved at the end of each week

Weeks: 0 1. 2. 3. 4. 5. 6. 7. 8 amount saved: 40 46 52. 58. 64. 70. 76. 82. 88

After saving for a certain number of weeks Jessica and Raphael will have each saved the same amount of money. How much money will they each have saved then?
Compare the rate at which each friend saves money.
Select the correct answer form the drop-down menu to complete the statement

The rate at which Jessica is adding to her savings each week is $(1,4,6,8,10) more than the rate at which Raphael is adding his savings each week.

Answer 1

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

Explanation:

4

Answer 2

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.

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.

=====

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.