Question

a school basketball team needs to raise at least $300. they already raised $55. the team is planning a car wash where they will make $10 per car. they want to know how many cars they need to wash.
let c be the number of cars the team washes.
$55 + 10c \geq 300$
$c \geq 24.5$
decide whether the team can wash each number of cars to raise enough money.
yes no
24 cars
24.5 cars
25 cars
which graph best represents the number of cars the team needs to wash?

Explanation:

Step1: Verify 24 cars total

Calculate total raised: $55 + 10\times24 = 55 + 240 = 295$

Step2: Compare to $300$

$295 < 300$, so insufficient.

Step3: Verify 24.5 cars total

Calculate total raised: $55 + 10\times24.5 = 55 + 245 = 300$

Step4: Compare to $300$

$300 = 300$, but half a car is not possible.

Step5: Verify 25 cars total

Calculate total raised: $55 + 10\times25 = 55 + 250 = 305$

Step6: Compare to $300$

$305 \geq 300$, so sufficient.

Step7: Identify correct graph

Since $c \geq 24.5$, and $c$ must be a whole number, the graph starts at 25 (closed dot, rightward arrow).

Answer:

Car Wash Feasibility:

• 24 cars: No
• 24.5 cars: No (non-whole number)
• 25 cars: Yes

Correct Graph:

The top graph with a closed dot at 25 and an arrow pointing right.