On saturday, lukas drove 4x – 5 miles. on sunday, he drove 3x – 10 miles. what is the difference in miles driven?

Distance drove by Lukas on Saturday = (4x - 5) miles

Distance drove by Lukas on Sunday = (3x - 10) miles

To find the difference in miles driven by Lukas = Distance drove by Lukas on Sunday - Distance drove by Lukas on Saturday

Difference in miles driven by Lukas = (3x - 10) - ( 4x - 5)

= 3x -10 - 4x +5

= -x - 5

Difference in miles driven by Lukas = ( - x - 5) miles

The difference in distance driven by lukas is; (x + 5) miles

Distance lukas drove on saturday; 4x - 5 miles

Distance lukas drove on sunday; 3x - 10 miles

       Thus, to get the difference in miles of distance he drove, we will subtract the distance he drove on Sunday from the distance he drove on Saturday to give;

Difference in distance driven; 4x - 5 - (3x - 10)

⇒ 4x - 5 - 3x + 10

⇒ (x + 5) miles

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let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

3100

step-by-step explanation: