Question

The mathematics department sponsors Math Family Fun Night every year. In the first year, there were 35 participants. In the third year there were 57 participants.

a) Write an equation that can be used to predict the amount of participants, y, for any given year, x.

b) Give an explanation of the meaning of the slope in this problem.

c) What does the y-intercept represent here?

d) How many participants would they have in the fifth year?​

Answer 1

a) y=11x+24

b) The slope of this equation is 11. You get the slope by taking the difference of the number of participants over the difference of the years: 35-57/1-3

c) The y intercept is 24 and it would be before the first year. (?)

d) There should be 79 participants in the fifth year.

Explanation:

I hope this helped. I'm not 100 percent sure the explanation for letter c.