A dress costs p dollars. An 8% sales tax must be added to the cost of the dress. Martha wants to multiply the cost of the dress by 0.08 to find the tax and then add it to the cost of the dress. Esther thinks that the cost of the dress should be multiplied by 1.08. The expressions for the two methods are shown below.


Martha: p+0.08p


Esther: 1.08p


Are the two expressions equivalent? Explain.


What does this mean in terms of the methods outlined by Martha and Esther?

Respuesta :

Answer:

Yes, both expressions for the two method are equivalent.

Step-by-step explanation:

Let the cost of the dress be p as given.

Marta want to evaluate the tax which is proportional to the cost.

8% sales tax will correspond to (8/100)*p=0.08p

Then she will add 0.08 p to p to obtain 0.08p+p= p(0.08+1)= 1.08p

On the other hand, Esther thinks that the cost of the dress, p, should be multiplied by 1.08 to obtain 1.08p at once!

Thus both expressions are equivalent. Only that Martha is wanting to pay much attention to the details , while Esther is a quick one :-)!

The two expressions given by Mary and Martha are equivalent. This is because both expressions would give the same value for the dress.

What is the value of the two expressions?

A sales tax is a compulsory amount that is charged on the purchase of goods and services. They increase in the price of the good.

Assume that the cost of the dress is 100.

Total cost of the dress using Martha's method = (0.08 x 100) + 100 = 108

Total cost of the dress using Mary's method = 1.08 x 100 = 108

To learn more about taxes, please check: https://brainly.com/question/25311567