Chapter 6.4, Problem 23STP

To determine

To Find: which of the following is not a equivalent rate for cost of renting a boat.

(a) 6 hours for $\$76.50$

(b) 3 hours for $\$38.25$

(c) 7 hours for $\$89.25$

(d) 5 hours for $\$63.00$

Answer to Problem 23STP

5 hours for $\$63.00$ option ‘D’ is not an equivalent rate of renting a boat.

Explanation of Solution

Given information:

Cost of renting a boat for 4 hours is $\$51$

Concept and Formula Used:

Concept of proportion. To find the equivalent rate first find the cost of rent for 1 hour.

Calculation:

It is given that cost of renting a boat for 4 hours is $\$51$

Cost of renting a boat for 1 hour is $=\$\frac{51}{4}=\$12.75$

Cost of renting a boat for 6 hour is $=\$12.75\times 6=\$76.5$ .Therefore option ‘A’ is equivalent rate.

Cost of renting a boat for 3 hour is $=\$12.75\times 3=\$38.25$ . Therefore option ‘B’ is equivalent rate.

Cost of renting a boat for 7 hour is $=\$12.75\times 7=\$89.25$ .Therefore option ‘C’ is equivalent rate.

Cost of renting a boat for 5 hour is $=\$12.75\times 5=\$63.75$ .Therefore option ‘D’ is not an equivalent rate.

Conclusion:

5 hours for $\$63.00$ option ‘D’ is not an equivalent rate of renting a boat.