Answer:To find the values of that fit within Dylan's budget, we can set up an inequality. Let's break it down step by step:
1. The cost of the table is $315.
2. Each matching chair costs $35.
3. Dylan has a budget of $560.
Now, let's use the variable to represent the number of matching chairs purchased along with the table.
The cost of the table and chairs can be calculated as follows:
Cost of the table = $315
Cost of matching chairs = $35 *
Total cost of table and matching chairs = ($315 + $35 * )
According to the question, the total cost of the table and matching chairs should be within Dylan's budget of $560. So, we can set up the inequality:
Cost of the table and matching chairs ≤ Dylan's budget
($315 + $35 * ) ≤ $560
To solve this inequality, we can simplify it further:
$315 + $35 * ≤ $560
Subtracting $315 from both sides:
$35 * ≤ $560 - $315
Simplifying:
$35 * ≤ $245
Now, let's divide both sides of the inequality by $35:
* ≤
Simplifying further:
* ≤ 7
Therefore, the inequality that shows the values of that fit within Dylan's budget is:
* ≤ 7
This means that Dylan can purchase up to 7 matching chairs along with the table and still stay within his budget of $560.
Step-by-step explanation: