Linear Function Problem: Alyssa, a kindergarten teacher, believes that adding an hour of free play to her curriculum each day improves student learning. Unfortunately, she only gets to see the children 180 days and is required to teach specific things each day. She often can't squeeze free play into the class schedule. Over the last 7 years, she has been collecting data on her average class annual test scores based on the number of days that they get a chance to have free play during that year. She wants to go to the principal to argue the benefits of free play. She predicts that adding hours of play in the school year will increase test scores by points.  Alyssa's data is shown below:

Question

Linear Function Problem:

Alyssa, a kindergarten teacher, believes that adding an hour of free play to her curriculum each day improves student learning. Unfortunately, she only gets to see the children 180 days and is required to teach specific things each day. She often can't squeeze free play into the class schedule. Over the last 7 years, she has been collecting data on her average class annual test scores based on the number of days that they get a chance to have free play during that year.

She wants to go to the principal to argue the benefits of free play. She predicts that adding hours of play in the school year will increase test scores by points. 

Alyssa's data is shown below:

Free Play Class Data

Number of Days of Free Play 20 40 50 60 80 90 120
Annual Test Score (Class Average) 68 70 70 72 73 74

76

How many free play hours would need to be added to the class schedule to raise the class average to 80?

Alyssa tells that principal that she her data shows that adding an hour a day to the schedule can increase her class average to 90. Is she correct?

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