# The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write a linear equation to find the total cost C for L dance lessons.

1 answer

###### Question:

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write a linear equation to find the total cost C for L dance lessons.

## Answers

First, find the slope of the line representing the total cost.The slope of the line thru (7, $82) and (11, $122) is $122-$82m = ------------------- = $40/4 per hour, or $10 per hour. 11-7Now write the linear equation. I'm choosing to use the slope-intercept form:y = mx+ b. Here, we have m = $10 per hour and the point (7, $82)Then $82 = ($10 per hour)(7 hrs) + b. Then b = $82-$70, or $12.Thus, the desired line is y = ($10.hr)x + $12.Looks like there is an up-front fee of $12 along with the hourly fee of $10.

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