Question

anita is buying soda and juice for a party and wants to spend no more than $39. soda costs $3 per bottle, and juice costs $2 per bottle. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of bottles of soda y = the number of bottles of juice 3x + 2y < 39 3x + 2y ≤ 39 2x + 3y ≤ 39 2x + 3y < 39

Explanation:

Step1: Calculate cost of soda

The cost of soda is $3 per bottle and the number of soda bottles is $x$, so the total cost of soda is $3x$.

Step2: Calculate cost of juice

The cost of juice is $2 per bottle and the number of juice bottles is $y$, so the total cost of juice is $2y$.

Step3: Set up the inequality

Anita wants to spend no more than $39$, which means the total cost of soda and juice ($3x + 2y$) should be less than or equal to $39$. So the inequality is $3x+2y\leq39$.

Answer:

$3x + 2y\leq39$