Last month, the soccer team held a bake sale to raise money for new uniforms. They did not raise enough money, so they organized a car wash. The table below shows the number of cars washed and the total amount of money raised by the soccer team, including the amount raised from the bake sale.

Number of Cars Washed Total Amount Raised
5 $
7 $231
$255
18 $319
24 $
30 $

Fill in the empty values in the table

1 answer

To fill in the empty values in the table, we need to first analyze the existing data and calculate the missing amounts.

Data from the table:

  1. Number of Cars Washed: 5, Total Amount Raised: $7
  2. Number of Cars Washed: 7, Total Amount Raised: $231
  3. Number of Cars Washed: 18, Total Amount Raised: $319
  4. Number of Cars Washed: 24, Total Amount Raised: ?
  5. Number of Cars Washed: 30, Total Amount Raised: ?

From the data we have:

  • The raise for washing cars can be calculated.
  • Let's find the amount raised per car washed for known entries:
    • For 7 cars washed: $231 \[ \text{Amount per car} = \frac{231}{7} = 33. \]
    • For 18 cars washed: $319 \[ \text{Amount per car} = \frac{319}{18} \approx 17.72. \]

Given that the amounts raised per car seems to differ significantly, let's assume a linear growth based on the entries.

  1. First calculate for 24 cars: If we assume a steady increase between known values, we could estimate the total for 24 cars.

    Using the established amounts:

    • 7 cars: $231
    • 18 cars: $319

    The increase from 7 to 18 cars is: \[ $319 - $231 = $88, \] which is for 11 cars. Thus, \[ \text{Increase per car} = \frac{88}{11} = 8. \]

So for the cars:

  • 7 cars: $231 + (24 - 7) \times 8 = 231 + 136 = 367.
  1. Next, calculate for 30 cars based on 24: Continuing the increase,
  • 24 cars: $367
  • From 24 to 30 cars means 6 more. \[ $367 + (30 - 24) \times 8 = 367 + 48 = 415. \]
  1. Now filling the table:

| Number of Cars Washed | Total Amount Raised | |-----------------------|--------------------| | 5 | $7 | | 7 | $231 | | 18 | $319 | | 24 | $367 | | 30 | $415 |

Now, the table is complete, with all values filled.