Question 941698: 2.) the following table gives the number of miles (y) that a car can be driven on x gallons of gasoline.
x | y
2 | 42
3 | 63
5 | 105
a.) estimate how far the truck can go on 7 miles of gasoline
b.) how many gallons of gas are needed to travel a distance of 658 miles.
c.) how far can the truck go on a full tank if it holds 20 gallons of gasoline.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
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first find equation of the line passing through given points; take points (, ) and (, )
| Solved by pluggable solver: FIND EQUATION of straight line given 2 points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 42) and (x2, y2) = (3, 63).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(21)x + (0)
Your graph:
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so, equation is:
a.) estimate how far the truck can go on  miles (here is probably gallons) of gasoline
if 
 ...the truck can go  miles on gallons of gasoline
b.) how many gallons of gas are needed to travel a distance of  miles.
if 
 ...to travel a distance of miles   gallons of gas are needed
c.) how far can the truck go on a full tank if it holds  gallons of gasoline.
if 
 ...the truck can go  miles on gallons of gasoline
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