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Cab drivers in Metro City charge $2 per mile plus a fixed charge of $3 for the tip. If a tourist pays $33 for a cab ride, then howmany miles was the cab ride?Select one:a. 17O b. 15Oc. 7O d. 18

Respuesta :

The total payment (in dollars) can be modeled by the linear equation:

[tex]y=mx+b[/tex]

Where y is the total payment, x is the number of miles, m is the charge per mile and b is the fixed charge. From the problem, we identify:

[tex]\begin{gathered} m=2 \\ b=3 \end{gathered}[/tex]

Then:

[tex]y=2x+3[/tex]

Now, if a tourist pays $33 (y = 33), using the equation to find the number of miles:

[tex]33=2x+3[/tex]

Solving this equation for x:

[tex]\begin{gathered} 2x=30 \\ \\ \therefore x=15\text{ miles} \end{gathered}[/tex]

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