Question

11.

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6
m = 5v – 2

Which is a possible correct method to find Meg's and Victor's ages? (5 points)


Solve m + 6 = 5m – 2 to find the value of m.
Write the points where the graphs of the equations intersect the x axis.
Solve v + 6 = 5v – 2 to find the value of v.
Write the points where the graphs of the equations intersect the y axis.
12.
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:

Car A
y = 60x + 10

Car B
y = 40x + 70

After how many hours will the two cars be at the same distance from their starting point and what will that distance be? (5 points)



2 hours, 150 miles
2 hours, 190 miles
3 hours, 150 miles
3 hours, 190 miles

Answer 1

11. solve v + 6 = 5v - 2 for v <==
12. 60x + 10 = 40x + 70
20x = 60
x = 3............same at 3 hrs.....190 miles <==

Answer 2

11. since both equations = m, then make both equations = each other so you would have v+6 = 5v-2 and solve for v

12. just like in 11 make both equations = each other and solve for x

60x+10 =40x+70

60x = 40x+60

20x =60

x = 60/20 = 3 hours

now use that as x to calculate miles

60(3) +10 = 190

3 hours, 190 miles