Question

Write an equation to model the given context. Give your answer in simplest form. The total for a pair of socks with a 15% sales tax. The original price of an item less a discount of 5%.

Answer 1

problem 1

The total for a pair of socks with a 15% sales tax.

Let

x ------> the original price of a pair of socks

y -----> the total cost

we know that

If the sales tax is 15%

then

the final price will be

100%+15%=115%

115%=115/100=1.15

so

y=1.15x

problem n 2

The original price of an item less a discount of 5%.​

Let

x ------> the original price of a pair of socks

y -----> the total cost

we know that

the original price represent 100%

if the price has a discount of 5%

then

100%-5%=95%

95%=95/100=0.95

the total cost is

y=0.95x