Callie biked 12 miles in 3 hours. Carter biked 10 miles in 2 hours.
1 answer:
Answer:
The diagrammatic representation of speed of each person's trip can be given by a column graph per second where the height of the column represents the total distance covered and the position of the column represents the time
The difference in speed is seen in the difference in the height of the column per unit time with the higher column representing the higher speed
The above graph can be combined with the distance time graph where the slope of the line graph is the speed with which the person is riding the bike.
The difference in speed is seen in the difference in slope with the steeper slope representing the higher speed
Step-by-step explanation:
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Start with the answer format we want, and work your way toward forming a single fraction like so
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
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An alternative route:
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
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Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.