A car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallons g. How many
gallons of gas does this car need to travel 578 miles?
2 answers:
D is directly proportional to g.
d α g
d = kg where k = constant, d =476, g =14
476 = k*14
476/14 = k
k = 34
d = kg
d = 34g is the equation.
When d = 578 miles, g = ?
578 = 34g
g = 578/34
g = 17
17 gallons would be needed.
Distance, d, is directly proportional to the number of gallons of gas, g. Thus,
d α g
To turn alpha to equal sign, we insert a constant of proportionality, k.
d=kg
To find k, we use the given conditions.
476 = k (14)
k = 34
Therefore, the equation is,
d = 34g
and for travelling 578 miles,
578 = 34g
g = 17 gallons is needed.
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