Camping is an activity that many families enjoy together. Many campsites offer equipment rentals. The table
shows the costs for renting kayaks and bicycles. The deposit is paid once to reserve a kayak or bike for any
number of days.
deposit- cost per day
bicycle 3.00- 5.50
kayak 6.00-- 5.00
a) Find the cost of renting a kayak for 4 days.
b) What will the cost be for a bicycle rental of 7 days?
c) After how many days will the cost of renting a kayak or a bicycle be the same?
d) When is it less expensive to rent a bicycle? A kayak? Explain.
For d days, add the deposit to the per-day charges:
kayak: 6.00 + 5.00d
bicycle: 3.00 + 5.5.d
Now you should be able to answer the questions.
Thank YOU!!!!!:3
To find the answers to these questions, we need to use the information provided in the table.
a) To find the cost of renting a kayak for 4 days, we need to multiply the cost per day of the kayak rental by the number of days. According to the table, the cost per day for a kayak rental is $5.00. So, the cost of renting a kayak for 4 days would be 4 * $5.00 = $20.00.
b) To find the cost for a bicycle rental of 7 days, we need to multiply the cost per day of the bicycle rental by the number of days. According to the table, the cost per day for a bicycle rental is $5.50. So, the cost of renting a bicycle for 7 days would be 7 * $5.50 = $38.50.
c) To find the number of days when the cost of renting a kayak or a bicycle is the same, we need to set up an equation. Let's assume the number of days is x. The cost of renting a kayak would be the deposit ($6.00) plus the cost per day ($5.00) multiplied by x. The cost of renting a bicycle would be the deposit ($3.00) plus the cost per day ($5.50) multiplied by x. So, we can set up the equation: 6 + 5x = 3 + 5.5x. Solving this equation, we find that x = 6. Therefore, after 6 days, the cost of renting a kayak or a bicycle would be the same.
d) To determine when it is less expensive to rent a bicycle or a kayak, we can compare the costs for different numbers of days. From the table, we can see that the kayak rental has a higher deposit than the bicycle rental ($6.00 compared to $3.00). This means that for short-term rentals, the kayak will be more expensive. However, the bicycle rental has a higher cost per day compared to the kayak rental ($5.50 compared to $5.00). This means that for longer-term rentals, the bicycle will be more expensive. So, it is less expensive to rent a bicycle for shorter durations, and it is less expensive to rent a kayak for longer durations.