Question

Activity

Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.

Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.

Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.

Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.​

Answer 1

The total charge to her account balance is $83.22
Explanation:
We are told that she initially spends $36.50 at the clothing store plus 8% tax.
8% of $36.50 is:
8 / 100 * 36.50 = $2.92
Her total spending at the clothes store is therefore
$36.50 + $2.92 = $39.42
She then spend $25 to refuel her car.
She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.
20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.
80% of $23.50 is:
80 / 100 * 23.50 = $18.80
Therefore, her total cost (change in her account balance) is:
$39.42 + $25 + $18.80 = $83.22
The total charge to her account balance is $83.22.

Answer 2

A)

Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.

The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).

Further simplify the expression by factoring -$36.50 from both terms:

-$36.50 + (0.08 × -$36.50)

=

-$36.50(1 + 0.08)

=

-$36.50(1.08).

B)

Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.

C)

The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.

Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).

Further simplify the expression by factoring -$23.50 from both terms:


-$23.50 – (-$23.50 × 0.2) = -$23.50(1 – 0.2)

= -$23.50(0.8).

D)

clothing store:

-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)

gas station:

-$25

grocery store:

-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)

After adding the three expenses:

-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or

(-36.5)(1.08) + (-25) + (-23.5)(0.8).

E)

(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22

enjoy :)