Two friends Paisley and Omar had just bought their first cars equation y=29.5x represents the number of miles y that Omar can drive his car for every X gallons of gas. The graph below represents the number of miles y that Paisley can drive her car for every X gallons of gas (10,199), (20,398) how many more miles can Paisley travel then Omar on 1 gallon of gas?
To find out how many more miles Paisley can travel than Omar on 1 gallon of gas, we need to compare the values of y for x = 1 in both equations.
For Omar's equation, when x = 1, y = 29.5(1) = 29.5 miles.
For Paisley's equation, we have the coordinate points (10,199) and (20,398). Using these two points, we can find the slope or the rate of change between them.
The slope, m, is given by (y2 - y1) / (x2 - x1), where (x1, y1) = (10,199) and (x2, y2) = (20,398).
Plugging in the values, we get m = (398 - 199) / (20 - 10) = 199 / 10 = 19.9 miles.
Therefore, when x = 1, y = 19.9 miles for Paisley's equation.
The difference in the number of miles that Paisley can travel compared to Omar on 1 gallon of gas is 19.9 - 29.5 = -9.6 miles.
Therefore, Omar can travel 9.6 more miles than Paisley on 1 gallon of gas.