Question

Rather than charging an entrance fee, a museum suggests that visitors donated dollars per person. The log shows the number of people who entered the museum in a 15-minute period and how much each person paid. suggested amount 10 $2 more 13 $3 less 2 write an algebraic expression to represent how much the visitors paid.

visitor donation
suggested amount 10
$2 more 13
$ less 2

Write an algebraic expression to represent how much the visitors paid. Then identify what each part of the expression represents.

Answer 1

The total amount paid by visitors to the museum can be represented by the algebraic expression (10 x donation) + (13 x (donation + $2)) + (2 x (donation - $3)). This expression takes into account the number of visitors paying the suggested amount, those who paid $2 more, and those who paid $3 less.

Step-by-step explanation:

To express how much the visitors paid to the museum, let's create an algebraic expression. The museum suggests a donation, but people can pay more or less. We are given that 10 visitors paid the suggested amount, 13 paid $2 more, and 2 paid $3 less.

To create this expression, let donation represent the suggested donation amount per person. Then, the total amount paid by visitors can be expressed as:

Total amount = (number of visitors paying the suggested amount x suggested amount) + (number of visitors paying more x (suggested amount + extra amount)) + (number of visitors paying less x (suggested amount - lesser amount))

This simplifies to:

Total amount = (10 x donation) + (13 x (donation + $2)) + (2 x (donation - $3))

Each part of the expression represents:

• The first part (10 x donation) represents the amount collected from visitors who paid the suggested donation.
• The second part (13 x (donation + $2)) represents the additional amount collected from visitors who paid $2 more than the suggested donation.
• The last part (2 x (donation - $3)) represents the discounted amount collected from visitors who paid $3 less than the suggested donation.