Question

a rock band has made souvenir t - shirts to sell at their concert and hopes to bring in at least $180 from the sale of the shirts. they make $7 for each adult t - shirt and $2 for every child t - shirt. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of adult t - shirts y = the number of child t - shirts

Explanation:

Step1: Determine revenue from adult T - shirts

The revenue from adult T - shirts is the number of adult T - shirts ($x$) multiplied by the profit per adult T - shirt ($\$7$). So the revenue from adult T - shirts is $7x$.

Step2: Determine revenue from child T - shirts

The revenue from child T - shirts is the number of child T - shirts ($y$) multiplied by the profit per child T - shirt ($\$2$). So the revenue from child T - shirts is $2y$.

Step3: Determine total revenue and inequality

The total revenue from selling both types of T - shirts is $7x + 2y$. The band hopes to bring in at least $\$180$, which means the total revenue should be greater than or equal to $180$. So the inequality is $7x+2y\geq180$.

Answer:

$7x + 2y\geq180$