On a road trip, Lota drives 55 miles each hour. The table below shows how far she travels each hour.
h hrs of driving | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
m miles completed | 55 | 110 | 165 | 220 | 275 | 330 |
Which equation represents the relationship between h, the number of hours she drives and m the number of miles she completes?
Try these one at a time:
The first formula: m = h/55.
Replace h with 1, m = 1/55 --- this doesn't work.
The second formula: m = 55/h
Replace h with 1, m = 55/1 = 55; replace h with 2, m = 55/2 =27.5 --- this doesn't work.
The third formula: m = 55h
Replace h with 1: m = 55(1) = 55. Replace h with 2: m = 55(2) = 110. Replace h with 3: m = 55(3) = 165. Replace h with 4: m = 55(4) = 220. Replace h with 5: m = 55(5) = 275. Replace h with 6: m = 55(6) = 330. --- these all work!
Try these one at a time:
The first formula: m = h/55.
Replace h with 1, m = 1/55 --- this doesn't work.
The second formula: m = 55/h
Replace h with 1, m = 55/1 = 55; replace h with 2, m = 55/2 =27.5 --- this doesn't work.
The third formula: m = 55h
Replace h with 1: m = 55(1) = 55. Replace h with 2: m = 55(2) = 110. Replace h with 3: m = 55(3) = 165. Replace h with 4: m = 55(4) = 220. Replace h with 5: m = 55(5) = 275. Replace h with 6: m = 55(6) = 330. --- these all work!