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The first line is dot-dashed and is labeled Line 1. Line 1 passes through coordinates left parenthesis 0 comma 40 right parenthesis and left parenthesis 2 comma 70 right parenthesis. The second line is labeled
Line 2 and is solid. Line 2 passes through coordinates left parenthesis 0 comma 10 right parenthesis and left parenthesis 1.5 comma 70 right parenthesis. The third line is labeled Line 3 and is dotted. Line 3
passes through coordinates left parenthesis 0.5 comma 20 right parenthesis and left parenthesis 1 comma 50 right parenthesis. The fourth line is long dot-dashed and is labeled Line 4. Line 4 passes through
coordinates left parenthesis 0.5 comma 10 right parenthesis and left parenthesis 2 comma 70 right parenthesis.

Sara went to meet her friend Rianna in Rome, but Rianna left Rome on a train 15 minutes earlier. The distance traveled by the train, in miles, with respect to time can be modeled by the equation
y = 40x + 10. Sara can buy a ticket on a faster train that will leave in 10 minutes and follow the same route. If the distance of the faster train with respect to time can be modeled by the equation y = 60x - 10,
which two lines on the graph show the solution to when Sara's train catches up to Rianna's train?

(1 point)

O Line 3 and Line 4

Line 1 and Line 2

Line 2 and Line 3

O Line 1 and Line 4

All Answers 1

Answered by GPT-5 mini AI
Line 2 and Line 3.

Reason: Line 2 goes through (0,10) and (1.5,70) so its equation is y = 40x + 10 (Rianna). Line 3 goes through (0.5,20) and (1,50) so its equation is y = 60x − 10 (Sara). The catch-up is at their intersection.