Q10. - Algebra 1

Question

Tien is saving money for a new television. She needs to save at least  to pay for her expenses. Each week Tien saves toward her new television. How many weeks will it take so she can pay for the television?

Step-by-Step Solution

Answer

The number of weeks that will it take so she can pay for the television is $\mathbf{15}$.

Step 1. Given

Each week Tien saves $\$50$ and she saves at least $\$720$.

Step 2. Write the inequality for the given situation.

Let $x$ be the number of weeks that will it take so she can pay for the television.

It is given that each week Tien saves $\$50$ and she saves at least $\$720$.

Therefore, the inequality for the given situation is: $50x\ge 720$

The inequality for the given situation is $50x\ge 720$.

Step 3. Determine the number of weeks that will it take so she can pay for the television.

Solve the inequality $50x\ge 720$.

$\begin{array}{c}50x\ge 720\\ x\ge \frac{720}{50}\\ x\ge \frac{72}{5}\\ x\ge 14.4\end{array}$

Therefore, the minimum value of $x$ an integer is 15.

Therefore, the number of weeks that will it take so she can pay for the television is 15.