Question

You are ordering shirts for the math club at

your school. Short-sleeved shirts cost $9 each.
Long-sleeved shirts cost $21 each. You have a
budget of $315 for the shirts. The equation
9x + 21y = 315 models the total cost, where x
is the number of short-sleeved shirts and y is
the number of long-sleeved shirts. Find and
interpret the intercepts. Select all that apply. PLSS HELPPPP

Answer 1

Explanation:

To find the intercepts, you can set one variable to zero at a time and solve for the other variable.

1. Setting x (number of short-sleeved shirts) to 0:

• Equation: 9. 0 + 21y= 315
• Solve for y: 21y =315
• y= 315 = 15

21

Interpretation: The y-intercept is 15, meaning if you order zero short-sleeved shirts, you can afford 15 long-sleeved shirts with the given budget.

2. Setting y (number of long-sleeved shirts) to 0:

• Equation: 9x + 21.0 = 315
• Solve for x: 9x = 315
• X= 315 = 35

9

Interpretation: The x-intercept is 35, meaning if you order zero long-sleeved shirts, you can afford 35 short-sleeved shirts with the given budget.

So, the interpretations are:

• If you order zero short-sleeved shirts, you can afford 15 long-sleeved shirts.
• If you order zero long-sleeved shirts, you can afford 35 short-sleeved shirts.