Question

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after that. He writes the expression 10 + 0.5(d - 1) to find the amount of money in his account after d days.

(1) How much has he saved after 15 days (when d=15)?
(2) How much has he saved after 51 days?

A) (1) $33.50, (2) $26.50.
B) (1) $22.00, (2) $27.50.
C) (1) $33.50, (2) $33.00.
D) (1) $25.50, (2) $29.50.

Answer 1

Owen has saved $17 after 15 days and $35 after 51 days by adding $0.50 to his savings account each day.

Step-by-step explanation:

To find how much Owen has saved after d days, we can use the expression: 10 + 0.5(d - 1). Let's substitute 15 for d in the expression and solve it:

Amount saved = 10 + 0.5(15 - 1)

= 10 + 0.5(14)

= 10 + 7

= 17

So, Owen has saved $17 after 15 days.

Similarly, let's substitute 51 for d and calculate the amount saved:

Amount saved = 10 + 0.5(51 - 1)

= 10 + 0.5(50)

= 10 + 25

= 35

Therefore, Owen has saved $35 after 51 days.