Chapter 14.3, Problem 12PPS

i.

To determine

To write an expression for how much more miles Kimiko rode

Answer to Problem 12PPS

Kimiko rides $5x-2$ miles mores than Celeste

Explanation of Solution

Given: Celeste rides $5x+2$ , and

Kimiko rides $10x$ ,

Where x is the hours.

Concept Used: Polynomial subtraction

Calculation:

How much more Kimiko rides= How much Kimiko rode − How much Celeste rode.

Substituting the expressions,

  $=10x-(5x+2)$

Opening the brackets,

  $\begin{array}{l}=10x-5x-2\\ =5x-2\end{array}$

Conclusion: Kimiko ride $5x-2$ miles more.

ii.

To determine

How much more did Kimiko rode?

Answer to Problem 12PPS

Kimiko rode 8 miles more.

Explanation of Solution

Given: Both rode for 2 hours (x),

Kimiko ride $5x-2$ miles more.

Calculation:

Substituting the weight (x) of the item, in the expression,

  $\begin{array}{l}=(5\times 2)-2\\ =10-2\\ =8\end{array}$

Conclusion: Kimiko rode 8 miles more.