Answer:
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 :)
