Question

Gabe goes to the mall. If d is the number of items he bought, the expression 17.12d+ 27 gives the amount he spent in dollars at one store. Then he spent 23 dollars at another store. Find the expression which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 3 items.​

Answer 1

The expression for the total amount Gabe spent at the mall is 17.12d + 50. If he bought 3 items, the estimation of the total amount spent would be $101.36.

Step-by-step explanation:

The expression which represents the amount Gabe spent at the mall is the sum of the amount he spent at one store, given by the expression 17.12d + 27, and the amount he spent at another store, which is $23.

Therefore, the total amount spent by Gabe is

(17.12d + 27) + 23,

which simplifies to

17.12d + 50.

To estimate how much Gabe spent if he bought 3 items, we plug d = 3 into the expression:

17.12(3) + 50,

which calculates to

51.36 + 50 = $101.36.

To execute these calculations step by step:

1. Write the expression for the first store: 17.12d + 27.
2. Add the constant amount spent at the second store: (17.12d + 27) + 23.
3. Simplify the expression: 17.12d + 50.
4. Plug in the value of d = 3 items: 17.12(3) + 50.
5. Multiply 17.12 by 3 to get 51.36.
6. Add 51.36 to 50 to get the total estimated amount spent: $101.36.