QuestionWhich double number line helps find calories burned by Raul if he runs 7 miles after burning 342 Calories for 3 miles?

Studdy Solution

STEP 1

Assumptions1. Raul burns a consistent number of calories per mile. The relationship between the miles run and calories burned is linear

STEP 2

First, we need to find the number of calories burned per mile. We can do this by dividing the total number of calories burned by the total number of miles run.
$Calories\, per\, mile = Total\, calories\, burned / Total\, miles\, run$

STEP 3

Now, plug in the given values for the total calories burned and total miles run to calculate the calories burned per mile.
$Calories\, per\, mile =342\, Cal /3\, miles$

STEP 4

Calculate the calories burned per mile.
$Calories\, per\, mile =342\, Cal /3\, miles =114\, Cal/mile$

STEP 5

Now that we have the number of calories burned per mile, we can use this to find out how many calories Raul will burn if he runs7 miles. We do this by multiplying the calories burned per mile by the number of miles.
$Total\, calories\, burned = Calories\, per\, mile \\times Number\, of\, miles$

STEP 6

Plug in the values for the calories burned per mile and the number of miles to calculate the total calories burned.
$Total\, calories\, burned =114\, Cal/mile \\times\, miles$

STEP 7

Calculate the total calories burned.
$Total\, calories\, burned =114\, Cal/mile \\times7\, miles =798\, Cal$ The double number line that could be used to determine the number of calories Raul will burn if he ran7 miles would have3 miles corresponding to342 calories on one line, and7 miles corresponding to798 calories on the other line.

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