Question

Which situation could the inequality 9h+20≤83
represent?(1 point)
Responses

Sandra can spend a maximum of $83. There is an equipment charge of $20 and a rental fee of $9 per hour. How many hours, h, can she rent the machine?
Sandra can spend a maximum of $83. There is an equipment charge of $20 and a rental fee of $9 per hour. How many hours, h , can she rent the machine?

Sandra can spend a maximum of $83. There is an equipment charge of $9 and a rental fee of $20 per hour. How many hours, h, can she rent the machine?
Sandra can spend a maximum of $83. There is an equipment charge of $9 and a rental fee of $20 per hour. How many hours, h , can she rent the machine?

Sandra can spend a maximum of $83. There is an equipment charge of $20. How many hours, h, can she rent the machine?
Sandra can spend a maximum of $83. There is an equipment charge of $20. How many hours, h , can she rent the machine?

Sandra must spend less than $83. There is an equipment charge of $20 and a rental fee of $9 per hour. How many hours, h, can she rent the machine?

Answer 1

The inequality \(9h + 20 \leq 83\) can be interpreted as follows:

- The term \(20\) represents an equipment charge that is a fixed cost.
- The term \(9h\) represents a variable cost, where \(h\) is the number of hours she rents the machine, and \(9\) is the cost per hour of rental.
- The inequality states that the total cost (fixed + variable) must be less than or equal to \(83\), which is Sandra's maximum budget.

Therefore, the correct interpretation of the situation is:

**Sandra can spend a maximum of $83. There is an equipment charge of $20 and a rental fee of $9 per hour. How many hours, h, can she rent the machine?**