Question

1. taylor has a $30.00 gift - card that she can spend at the store. she has already bought a $9.00 picture frame, and she wants to buy $3.00 journals with the leftover money on the card. how many journals can she buy with her gift card? variable: how many journals inequality: solution: the length of a rectangle is eight more than twice its width. if the length is less than 34, then

Explanation:

Step1: Calculate remaining money

Let $x$ be the number of journals. The initial gift - card amount is $\$30$ and she spent $\$9$. So the remaining money is $30 - 9=21$ dollars.

Step2: Set up inequality

Each journal costs $\$3$. The total cost of $x$ journals is $3x$ dollars, and this cost must be less than or equal to the remaining money. So the inequality is $3x\leqslant21$.

Step3: Solve the inequality

Divide both sides of the inequality $3x\leqslant21$ by 3. We get $x\leqslant\frac{21}{3}$, which simplifies to $x\leqslant7$.

Answer:

$x\leqslant7$