The mean monthly day-care cost was $972 in 2011, and it increased by approximately $45.60 per year

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The mean monthly day-care cost was $972 in 2011, and it increased by approximately $45.60 per year for the period 2011–2014. Costs are based on a three- year-old attending a day-care center eight hours a day, five days a week. Let f(t) be the mean monthly cost (in dollars) at t years since 2011.
a. Find an equation of f.
b. What is the slope? What does it mean in this situation?
c. Findf(3) – f(2).Compare the result with the slope. Why does your comparison make sense?
d. Estimate the mean monthly cost in 2014.
e. Estimate the mean cost per hour in 2014. There 365 days in 1 year.
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