The graph shows the population of Ivor’s ant colony over the first four weeks. Assume the ant population will continue to grow at the same rate.

a. Write an explicit rule for this population in function notation.

b. If Ivor’s ants have a mass of 1.5 grams each, what will be the total mass of all of his ants in 13 weeks? Show your mathematical work and explain your process in words.

c. When the colony reaches 1385 ants, Ivor’s ant farm will not be big enough for all of them. In how many weeks will the ant population be too large? Show your mathematical work and explain your process in words.