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Emily started a new business babysitting. The amount of money she charges (in dollars) is based on the

number of hours she works as is given by m(h) = 12h + 20. She is willing to work a maximum of 6 hours at
a time.
a. What is the slope? What does it mean in context? b. What is the y-intercept? What does it mean in context?
context? (2 pts)
context?(2pts)

1 Answer

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Final answer:

The slope of Emily's babysitting charge equation is 12, representing her hourly rate of $12, and the y-intercept is 20, representing the base fee of $20.

Step-by-step explanation:

The equation m(h) = 12h + 20 represents the amount of money Emily charges for babysitting based on the number of hours worked. The slope of this linear equation is 12, which in this context means that Emily charges $12 per hour of babysitting. The y-intercept is 20, which means that she charges a base fee of $20 at the start, regardless of the hours worked. This would be the amount she charges if she worked 0 hours.

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