Question

Elliott bought x notebooks that cost $0.75 each and y pens that cost $0.50 each. A 6.5% sales

tax will be applied to the total cost. Which expression represents the total amount Elliott paid,
including tax?
A 0.065 (x+y)+ 0.065(0.75x+0.50y)
B. (0.75x+0.50y) + 0.065(0.75x+0.60y)
C. 0.75(0,065x) + 0.50(0.065)
D.
0.75(1.065x) + 0.50(1.065)

Answer 1

`(0.75x+0.50y)+0.065(0.75x+0.50y)=1.065(0.75x+0.50y)`

Explanation:

we have x notebooks being bought for 0.75 each, so for notebooks he paid 0.75x.

for pens, he bought y pens for 0.50 each, so for pens he paid 0.50y.

in total, his payment before tax is 0.75x+0.50y.

additionally, we have a 6.5% tax, which in decimals is 0.065 (as to convert percentage to decimals, we simply have to divide by 100.

so, the total payment is added with 0.065 of itself, so we pay 1.065 of total payment.

this is represented as
`1.065(0.75x+0.50y)` or if we separate the tax from the original cost, we have
`1(0.75x+0.50y)+0.065(0.75x+0.50y)`.