Question

at the beginning of the year, aaliyah had $80 in savings and saved an additional $5 each week thereafter. deepa started the year with $40 and saved $10 every week. let represent the amount of money aaliyah has saved t weeks after the beginning of the year and let d represent the amount of money deepa has saved t weeks after the beg the year. graph each function and determine the amount of money aaliyah and deepa have saved in the week that they have the same amount of money saved. click twice to plot each line. click a line to delete it. answer attempt 1 out of 2 answer: weeks per dollar weeks dollars per week dollars submit answer

Explanation:

Step1: Define the functions

Aaliyah's savings: \( A = 80 + 5t \) (initial $80, $5 per week).
Deepa's savings: \( D = 40 + 10t \) (initial $40, $10 per week).

Step2: Find when \( A = D \)

Set \( 80 + 5t = 40 + 10t \).
Subtract \( 5t \) and 40: \( 40 = 5t \).
Solve for \( t \): \( t = 8 \) weeks.

Step3: Find the amount

Substitute \( t = 8 \) into \( A \) (or \( D \)):
\( A = 80 + 5(8) = 80 + 40 = 120 \) dollars.

Answer:

120 dollars