The 8 members of a band want to order matching T-shirts without spending more than $136. What is the solution of an inequality representing their situation? Use t

Question

for the cost of one shirt.

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(1 point)
t

Answer 1

To represent the situation of the 8 members of a band wanting to order matching T-shirts without exceeding a total cost of $136, we can set up an inequality.

The total cost for 8 T-shirts can be expressed as \( 8t \), where \( t \) is the cost of one T-shirt.

To ensure the total cost does not exceed $136, we write the inequality:

\[ 8t \leq 136 \]

This represents that the total cost of the T-shirts must be less than or equal to $136.

So, the solution of the inequality is:

\[ t \leq \frac{136}{8} \]

Calculating \( \frac{136}{8} \):

\[ 136 \div 8 = 17 \]

Thus, the inequality in terms of \( t \) is:

\[ t \leq 17 \]

So, the final answer is:

\[ t \leq 17 \]