Studdy AI Logo
Math

Question Karen is saving $60\$ 60 per week. After WW weeks, the total amount in the savings account is S=350+60WS = 350 + 60W. The total amount after 18 weeks is $1,430\$ 1,430.

Studdy Solution

STEP 1

1. Karen starts with an initial amount of 350inhersavingsaccount.<br/>2.Karenadds350 in her savings account.<br />2. Karen adds 60 every week to her savings account.
3. The relationship between the total amount in the savings account and the number of weeks is linear.

STEP 2

1. Formulate the equation relating SS to WW.
2. Substitute W=18W = 18 into the equation to find SS after 18 weeks.

STEP 3

Write the initial amount in the savings account as S0=$350S_0 = \$350.

STEP 4

Identify the amount added each week as a constant value, d=$60d = \$60.

STEP 5

Formulate the equation relating SS to WW using the formula for arithmetic progression, where S=S0+dWS = S_0 + dW.

STEP 6

Substitute W=18W = 18 into the equation S=S0+dWS = S_0 + dW to find the total amount after 18 weeks.

STEP 7

Calculate SS when W=18W = 18 by evaluating S=350+60⋅18S = 350 + 60 \cdot 18.

STEP 8

Present the final result for the total amount of money in the savings account after 18 weeks.
Equation: S=350+60W S = 350 + 60W
Total amount of money after 18 weeks: $1430 \$ 1430

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord