Chapter 6, Problem 20MCQ

To determine

To write: The equation that relates total earning to total number of dogs. Also to calculate total earning after walking 9 dogs.

Answer to Problem 20MCQ

The equation that compares total earning (in dollars) to total dogs walked is $c=\frac{27}{4}n$ . And total earning by walking 9 dogs is $60.75.

Explanation of Solution

Given information: 

The earning for walking 4 dogs is $27.

Concept used:

First to calculate rate of earning for walking one dog by dividing 27 by 4 and then use the formula,

  $\text{Total earning}=\text{rate of walking }\times \text{ total dogs walked}$

Calculation:

Total earning by

  $\text{Walking one dog}=\text{rate}=\$\frac{27}{4}\text{per dog}$

Now using above formula, if the total earning be c and number of dogs be n, then equation that compares earning to the number of dogs walked be

  $c=\frac{27}{4}n$

Now when total dogs be 9, or when $n=9$ ,

  $c=\frac{27}{4}n=\frac{27}{4}\times 9=\frac{243}{4}=\$60.75$

Conclusion: Required equation is $c=\frac{27}{4}n$ and total earning by walking 9 dogs is $60.75.