Question

The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t+0.07t.


a. Write an equivalent expression by combining like terms.



b. If the original price was $19.99, estimate the new price by first rounding the original price to the nearest dollar.

PLEASE HELP!!!!

Answer 1

Using equivalent expression, the new price of the product is $21

Equivalent Expression

These are two or more expressions that are equal to each other. When two algebraic expressions are equivalent, the two expressions will definitely  have the same value when we plug in the same value for the variable.

a) The equivalent expression from combining like terms will be;

t + 0.07t

When we add the two expressions, we will have;

t + 0.07t = 1.07t

b) When the original price is $19.99, the new price will be

From the expression calculated in part a.

New price = 1.07t

t = 19.99

New price = 1.07(19.99)

New price = 21.39

New price ≅ $21

The new price of the product from the expression is $21

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