SOLUTION: Makaila would like to walk at least 70 blocks over the next five days. She would like to increase the number of blocks she walks by two per day for each of the second and third day

Question 210716: Makaila would like to walk at least 70 blocks over the next five days. She would like to increase the number of blocks she walks by two per day for each of the second and third days. Then, she wishes to level off so that the fourth and fifth days she walks only as far as she did on the third day.
(a) If the amount that Makaila walks the first day is represented by x, then write expressions for each distance she walks the other four days.
Day 1 = x Day 2 = Day 3 = Day 4 = Day 5 =
(b) Find all possible values that Makaila could walk on the first day to reach her goal
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
first day she walks x blocks
second day x + 2
third day x + 4
fourth day x + 4
fifth day x + 4
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total is 5x + 14
equation is 5x + 14 >= 70
subtract 14 from both sides of this equation to get:
5x >= 56
divide both sides of this equation by 5 to get:
x >= 11.2
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she must walk greater than or equal to 11.2 blocks the first day to reach her goal.
assume she walks exactly 11.2 blocks the first day.
then her total walking based on the formula would be:
first day 11.2
second day 13.2
third day 15.2
fourth day 15.2
fifth day 15.2
total walked is 11.2 + 13.2 + (3 * 15.2)
this equals 24.4 + 45.6 which equals 70.0
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any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.
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