Question

Brandi runs 12 more miles per weeks when she's not training for a race, and Lyndsi runs 7 miles per week. This week, they are both going to start trianing for a race. Brandi will increase the distance she runs by 2 miles each week. Lyndsi will will increase the miles by she runs by 3 miles each week. This situation can be modeled with the follwing systems of equations and the given graph. The number of weeks each girl spends training is represented by x, and the number of miles each girl runs per week is represented by y.

During which week will Brandi and Lyndsi run the same number of miles?


5

6

22

10

Answer 1

Answer: it's 22

Step-by-step explanation: took the test ^_^

Answer 2

Brandi and Lyndsi will run the same number of miles during the 5th week of training

Explanation:

Given information:

Brandi runs 12 more miles per week when she's not training for a race.

Lyndsi runs 7 miles per week.

Brandi increases the distance she runs by 2 miles each week.

Lyndsi increases the distance she runs by 3 miles each week.

Set up the equations:

Let x represent the number of weeks each girl spends training, and let y represent the number of miles each girl runs per week.

Brandi's equation: y = (12 + 2x)

Lyndsi's equation: y = (7 + 3x)

Find when they will run the same number of miles:

Set the two equations equal to each other and solve for x:

(12 + 2x) = (7 + 3x)

Simplify the equation:

12 + 2x = 7 + 3x

Rearrange the equation:

2x - 3x = 7 - 12

-x = -5

Divide by -1 to solve for x:

x = 5