Madison rents a kayak on Lake Lanier. The kayak rents for $15 per hour and requires a $25 deposit.

Question

Write an equation to represent the total cost, c, for renting the kayak for h hours

Question 1 options:

c = 15h - 25

c = (15+25)h

c = 15 + 25h

c = 25 + 15h

Question 2 (1 point)

Listen
Your savings account earns $125 in interest each year. How much interest, i, will you earn in y years?

Write an equation to model this situation

Question 2 options:

y = 125 + i

i = 125+y

i = 125y

y = 125i

Question 3 (1 point)

Listen
Ella is selling a dozen cookies for $4. She had to pay $20 for ingredients. How much will she earn if she sells 12 dozen cookies?

Question 3 options:

$68

$48

$28

$288

Question 4 (1 point)

Listen
Madison rents a kayak on Lake Lanier. The kayak rents for $15 per hour and requires a $25 deposit.

How many hours can she rent the kayak if she can only spend $100?

Question 4 options:

$1525

3 hours

5 hours

4 hours

Question 5 (1 point)

Listen
Your savings account earns $125 in interest each year.

How much interest will you earn in 17 years?

Question 5 options:

$142

$7.40

$108

$2,125

Answer 1

Let's address each question one by one:

Question 1:

Madison rents a kayak on Lake Lanier. The kayak rents for $15 per hour and requires a $25 deposit. Write an equation to represent the total cost, c, for renting the kayak for h hours.

To calculate the total cost, we need to add the deposit to the cost of renting for h hours. The cost for h hours is \(15h\), and the deposit is \(25\). Thus, the equation will be:

c = 25 + 15h (This is the correct option)

Question 2:

Your savings account earns $125 in interest each year. How much interest, i, will you earn in y years? Write an equation to model this situation.

The interest earned each year is \(125\), so over \(y\) years, the total interest \(i\) is given by \(125y\). The correct equation is:

i = 125y (This is the correct option)

Question 3:

Ella is selling a dozen cookies for $4. She had to pay $20 for ingredients. How much will she earn if she sells 12 dozen cookies?

First, calculate the revenue from selling 12 dozen cookies:

• Revenue = Price per dozen × Number of dozens = \(4 \times 12 = 48\)

Now, subtract the cost for ingredients to find the profit:

• Profit = Revenue - Cost = \(48 - 20 = 28\)

Therefore, the amount Ella will earn is:

$28 (This is the correct option)

Question 4:

Madison rents a kayak on Lake Lanier. The kayak rents for $15 per hour and requires a $25 deposit. How many hours can she rent the kayak if she can only spend $100?

The total cost can be expressed as \(c = 25 + 15h\). Setting \(c = 100\):

\[100 = 25 + 15h\] Subtract \(25\) from both sides:

\[75 = 15h\] Dividing both sides by \(15\):

\[h = 5\]

Therefore, Madison can rent the kayak for:

5 hours (This is the correct option)

Question 5:

Your savings account earns $125 in interest each year. How much interest will you earn in 17 years?

Using the formula \(i = 125y\), where \(y = 17\):

\[i = 125 \times 17 = 2125\]

Therefore, the interest earned in 17 years is:

$2,125 (This is the correct option)

Summary of Answers:

• Question 1: c = 25 + 15h
• Question 2: i = 125y
• Question 3: $28
• Question 4: 5 hours
• Question 5: $2,125