Question

grace, the band director for the oakland high school marching band, is buying instruments to expand the brass section. a tuba costs $1,100 and a trumpet costs $680. the total expenditure must be below $7,200. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of tubas purchased y = the number of trumpets purchased 1100x + 680y < 7,200 680x + 1100y > 7,200 680x + 1100y < 7,200 1100x + 680y > 7,200

Explanation:

Step1: Calculate cost of tubas

The cost of each tuba is $1100 and the number of tubas is $x$, so the total cost of tubas is $1100x$.

Step2: Calculate cost of trumpets

The cost of each trumpet is $680 and the number of trumpets is $y$, so the total cost of trumpets is $680y$.

Step3: Set up inequality

The total expenditure must be below $7200$. So the sum of the cost of tubas and trumpets, $1100x + 680y$, must be less than $7200$. The inequality is $1100x+680y < 7200$.

Answer:

$1100x + 680y < 7200$