Chapter 2.4, Problem 5STP

For Exercises $1-5,$ choose the correct letter.

Jacob is saving for a new bicycle which costs $175. He has already saved $35. His goal is to have enough money saved in six weeks to pay for the bicycle. Which equation represents how much money he needs to save each week to meet his goal?

A. $35+6d=175$

B. $35+12d=175$

C. $6(35+2d)=175$

D. $2(35+6d)=175$

To determine

To find: equation

Answer to Problem 5STP

Option A is correct.

Explanation of Solution

Given information: bicycle cost is $\$175$ . Saved money is $\$35$ and number of weeks are 6

  Let us assume money save each week be $d$ .

So, the linear equation is given by $\text{Saved money + number of week }\times \text{money save each week}=\text{Bicycle cost}$

  $\begin{array}{l}35+6\times d=175\\ 35+6d=175\end{array}$