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**sri340** Jabari is training for a marathon and is using a Pyramid training pattern for the next five days. He plans to increase the number of miles he runs by a single mile each day from the first to the third day, peaking on the third day, and then decreasing the number of miles run by a single mile per day for the last two days.

a) If *x *represents the number of miles Jabari runs on Day 1, write expressions for how many miles, in terms of *x*, he runs for Days 2 through 5.

Day 1 = *x *Day 2 = Day 3 = Day 4 = Day 5 =

b) Find all possible values that Jabari can run on Day 1 such that his total number of miles run over the five days is at least 55. Represent your answer algebraically

3) Assuming Jabari runs a whole number of miles on Day 1, what is the least number of miles he can run on Day 1 to meet his goal of at least 55 miles.