5. Ryan Just bought 10 gallons of gasoline, the amount of fuel used for the last 355 miles of driving. Being a curious sort , Ry
an wondered how much fuel had been used in freeway driving (which takes on gallon for each 40 miles) Ryan started by guessing 6 gallons for the city driving , then completed the first row of the guess -and-check table below . Notice the failed check . Make your own guess and use it to fill in the next row of the table. city gallons 6 freeway gal 10 - 6 = 4 check city mi. 6(25) = 150 freeway mi. 4(40) = 160 total mi. 150 + 160 = 310 target 355 no Now write c in the city gallon column, fill in the remaining entries in terms of c, and set your expression for the total mileage equal to the target mileage Solve the resulting equation.
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Steps?
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A graph shows zeros to be ±3. Factoring those out leaves the quadratic
(x-2)² +1
which has complex roots 2±i.
The function has roots -3, 3, 2-i, 2+i.