Question

A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the

Answer 1

Answer:
`\$(23.65+1.343s)`

Explanation:

Given

Speaker set to cost $22

Each song costs $1.25

Sales tax is 7.5%

Suppose, one purchase s no of songs

The cost of s songs is $1.25s

The combined cost of speakers and song is

`C=22+1.25s`

At this cost, a 7.5% sales tax is applied to the given cost

`\Rightarrow [22+1.25s]* 0.075`

Total cost after sales tax is

`\Rightarrow C_t=22+1.25s+[22+1.25s]0.075\\\\\Rightarrow C_t=[22+1.25s](1+0.075)=[22+1.25s]* 1.075\\\\\Rightarrow C_t=\$(23.65+1.343s)`