Question

estimation rita goes to the mall. if d is the number of items she bought, the expression 13.95d + 25 gives the amount she spent in dollars at one store. then she spent 24 dollars at another store. find what expression represents the amount in dollars that rita spent at the mall? (simplify your answer. use whole numbers or decimals for any numbers in the expression.) then estimate how much rita spent if she bought 6 items.

Explanation:

Step1: Identify the total cost expression

The amount spent at one store is \(13.95d + 25\), and then she spent 24 dollars at another store. So the total amount spent \(T\) is the sum of these two amounts: \(T=(13.95d + 25)+24\).

Step2: Simplify the total cost expression

Simplify the constant terms: \(25 + 24 = 49\), so the expression for total amount spent is \(T = 13.95d+49\).

Step3: Substitute \(d = 6\) into the expression

Now, we need to find the amount when \(d = 6\). Substitute \(d = 6\) into \(13.95d + 49\):
First, calculate \(13.95\times6\). \(13.95\times6=(14 - 0.05)\times6=14\times6-0.05\times6 = 84 - 0.3=83.7\).
Then, add 49: \(83.7+49 = 132.7\).

Answer:

The expression representing the total amount spent is \(13.95d + 49\), and when \(d = 6\), Rita spent \(\$132.7\).