Algebraic Expressions for Rentals

These flashcards cover fundamental concepts related to algebraic expressions for rentals, specifically for a bicycle and helmet rental scenario.

What is the flat fee for renting a helmet at the store?

$8

What is the rental fee per hour for a bicycle?

$12

What does 'r' represent in the context of this problem?

The number of hours for which the bicycle is rented.

Which expression represents the total cost of renting a helmet and bicycle for r hours?

8 + 12r

Choose the correct expression for total rental cost: 8m + 12 or 12n + 8.

Neither expression is correct for the cost of renting a helmet and bicycle.

If a customer rents a bicycle for 5 hours, what is the cost?

$60, calculated as $12*5.

How much would it cost to rent a helmet and bicycle for 3 hours?

$44, calculated as $8 + $12*3.

If a rental cost is expressed as 8 + 12r, what does 'r' stand for?

The number of hours the bicycle is rented.

What is the combined rental cost for 2 helmets and 4 hours on a bicycle?

$56, calculated as 28 + 124.

Simplify the expression for total cost: 8 + 12r.

This expression is already in its simplest form.

What would be the total cost if 'r' is 0?

$8, the cost of renting only the helmet.

What operation does the term '12r' indicate?

Multiplication of the hourly rate by the number of hours.

If a person spends $44, how many hours did they rent the bicycle if the helmet was included?

They rented the bicycle for 3 hours.

What does the variable 'm' refer to in the expression 8m + 12?

It is incorrectly used here for the number of helmets.

Why might the expression 8m + 12 not apply in this scenario?

It does not account for the number of hours rented for the bicycle.

How would you represent the total cost of renting 2 bicycles for 3 hours?

$72, calculated as 2123.

What is the fixed cost regardless of duration?

The rental fee for a helmet, which is $8.

What happens to the total cost if 'r' increases?

The total cost increases linearly as the number of rented hours increases.

How is 'n' incorrectly used in the expression 12n + 8?

It implies a rental cost for bicycles without considering hours.

If you choose to rent one bicycle for 1 hour and one helmet, what is your total?

$20, calculated as $12 + $8.

What is the cost if no helmets are rented?

Only the bicycle charges apply; hence it would be $12*r.

Calculate the total for renting a helmet for 1 hour at the bicycle rate.

$20, thus $12 + $8.

Are rentals based on a linear pricing model?

Yes, as the costs increase linearly with time.

What do the values 8 and 12 represent in pricing?

$8 for helmets and $12 as the hourly bicycle charge.

Is it possible to rent a bicycle for a fraction of an hour according to this scenario?

Not specified, assumed that the rental is by whole hours.

Identify the cost structure of renting bikes versus helmets.

Helmets have a flat fee while bicycles charge per hour.

Who would be liable for additional charges in a rental agreement?

The customer renting the bike and helmet.

What does overall cost depend on in this rental situation?

The number of hours rented and the number of helmets.