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OpenStudy (anonymous):
The table below shows the distance a runner is from the finish line during a race:|dw:1357779841242:dw|
jimthompson5910 (jim_thompson5910):
Whats your question?
OpenStudy (anonymous):
this
jimthompson5910 (jim_thompson5910):
I see information and a table, but no question
OpenStudy (anonymous):
Write a linear equation that models the relationship between time and distance. Use mathematics to explain how you determined your equation. Use words, symbols or both in your explanation.
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jimthompson5910 (jim_thompson5910):
Notice how as t increases by 4, the distance decreases by 30
jimthompson5910 (jim_thompson5910):
so the slope is -30/4 = -7.5
this means that the distance is shrinking by 7.5 ft per second
OpenStudy (anonymous):
but I cant use decimals when I write a slope
jimthompson5910 (jim_thompson5910):
then keep it a fraction and reduce as much as possible
jimthompson5910 (jim_thompson5910):
-30/4 = -15/2
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jimthompson5910 (jim_thompson5910):
y = mx + b
y = (-15/2)x + b ... plug in the slope we found m = -15/2
270 = (-15/2)(4) + b
270 = -15*2 + b
270 = -30 + b
Solve for b