Question

"The double number line shows the relationship between dollars earn in cars washed out of school fundraiser students are in $48 washing a cars the radio of dollars are in two cars washed is 48:8. Cars washed|0__1__2__3__?__?__?__?__8 Dollars earned|0__6__12__18__24__?_?__?__48 What pattern do you see in the dollars earned use the pattern to complete the bottom number line."

Answer 1

The pattern in dollars earned is that each car washed earns $6. Using this pattern, the dollars earned for washing 4, 5, 6, and 7 cars are $24, $30, $36, and $42, respectively.

Step-by-step explanation:

The double number line given here presents a linear relationship between 'cars washed' and 'dollars earned' at the school fundraiser. Based on the pattern from 0 to 3 cars washed, if 0 cars result in $0 and 1 car results in $6 earned, the pattern is that each washed car yields $6. Therefore, moving along the number line, if 2 cars washed yield $12 earned and 3 cars result in $18, we can fill the gaps. That means for 4, 5, 6, and 7 cars washed, the amounts earned would be $24, $30, $36, and $42, respectively, because the pattern we have is that washing each car earns $6. Hence, if 8 cars washed yield $48, this consistent pattern continues. The pattern that can be seen in the dollars earned, is therefore $6 per car washed.
Example: If the school washes five cars, the amount earned will be 5 cars * $6/car = $30.

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