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?​