McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
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Exercise 64 Page 33

Rearrange your formula for distance rate and time, then set up a proportion with the rates from the two different scenarios equal to each other.

G

Practice makes perfect
When asked about distance, rate, or time, the first thing we should consider is the d=rt formula. In this case, we know the rates for 4 miles and for 19 miles is the same. First, let's rearrange our formula to solve for r. d=rt ⇔ r=d/t Now, let's set up an expression for the rate when Myron drives a distance of 4 miles in a time of m minutes. r=d/t ⇒ r= 4/m Next, we can set up an expression for r when he travels 19 miles in x minutes. r=d/t ⇒ r= 19/x Since we know the rates are the same, we can set the two different expressions for r equal to each other and solve for x.
4/m=19/x
4x/m=19
4x = 19m
x=19m/4
This answer matches answer choice G.