The school band is selling sweatshirts and baseball caps to raise $9000 to attend a band competition Sweatshirts cost $25 each and baseball caps cost $10 each. The equation 25x + 10y = 9000 models this situation, where x is the number of sweatshirts sold and y is the number of baseball caps sold. The number of shirts sold is 258 X - intercept = y - intercept = How many caps were sold?x int:
y int:
how many caps were sold? :โ€‹

Answers

Answer 1
Answer:

Answer:

255 caps were sold

Step-by-step explanation:

25x+10y = 9000

25(258) + 10y = 9000

6450 + 10y = 9000

-6450 + 10y = -6450

10y = 2550

2550/10y

y = 255

Answer 2
Answer:

Final answer:

To find the number of baseball caps sold, set x = 0 in the equation 25x + 10y = 9000 and solve for y.

Explanation:

To find the number of baseball caps sold, we can rearrange the equation 25x + 10y = 9000 to solve for y. The y-intercept represents the number of caps sold when there are no sweatshirts sold, so we set x = 0. Plugging this into the equation, we have 25(0) + 10y = 9000. Solving for y, we get y = 9000/10 = 900. Therefore, the y-intercept is 900, which represents the number of baseball caps sold when no sweatshirts are sold.

So, based on the given equation, the number of baseball caps sold is 900.

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