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Answer :
Final answer:
To find the maximum number of additional letters that the club can have monogrammed on a tote bag within their budget, we can write an inequality using the base cost and the cost per additional letter. Simplifying the inequality, we find that the club can have a maximum of 6 additional letters monogrammed.
Explanation:
To write an inequality for the number of additional letters that the club can have monogrammed on a tote bag, we need to consider the budget of $8 and the cost of monogramming. The base cost is $5, and it increases by $0.50 for each additional letter. Let's represent the number of additional letters as 'x'.
The total cost of monogramming is given by the equation: $5 + $0.50x. The club's budget of $8 should be greater than or equal to the total cost, so we can write the inequality as:
$8 ≥ $5 + $0.50x
We can simplify the inequality further to:
$3 ≥ $0.50x
To find the maximum number of additional letters, we can divide both sides of the inequality by $0.50:
6 ≥ x
Therefore, the club can have a maximum of 6 additional letters monogrammed on a tote bag.
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Rewritten by : Jeany
