Elena and her husband Marc both drive to work. Elena's car has a current mileage (total distance drove) of 13,000 and she drives 15,000 miles more each year. Marc's car has a current mileage of 32,000 and he drives 15,000 miles more each year. Will the mileages for the two cars ever be equal? Explain.

No; The equations have different slopes, so the lines do not intersect.

Yes; The equations have different slopes, so the lines intersect.

No; The equations have equal slopes but different y - intercepts, so the lines do not intersect.

Yes; The equations have different y - intercepts, so the lines intersect.

Question

Mathematics

Uriah Harmon

8 July, 06:00

Elena and her husband Marc both drive to work. Elena's car has a current mileage (total distance drove) of 13,000 and she drives 15,000 miles more each year. Marc's car has a current mileage of 32,000 and he drives 15,000 miles more each year. Will the mileages for the two cars ever be equal? Explain.

No; The equations have different slopes, so the lines do not intersect.

Yes; The equations have different slopes, so the lines intersect.

No; The equations have equal slopes but different y - intercepts, so the lines do not intersect.

Yes; The equations have different y - intercepts, so the lines intersect.

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Answers (1)

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KC · Answer 1

No; The equations have equal slopes but different y-intercepts, so the lines do not intersect.

Step-by-step explanation:

If year = x and mileage = y, then;

Elena:

y = 15000x + 13000

Marc:

y = 15000x + 32000

No; The equations have equal slopes but different y-intercepts, so the lines do not intersect.