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Cora ran 3 miles last week and will run 7 miles per week from now on. Hana ran 9 miles last week and will run 4 miles per week from now on.

In the answer box,
Write a system of equations to describe this scenario. Identify what the variables mean in the context of the problem.

Respuesta :

Answer:

If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.

For Hana, you will have 3+ 3/4 x

Step-by-step explanation:

First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.

The system of equations to describe this scenario are

  • y = 3 + 7x
  • y = 9 + 4x

The variable x means the number of weeks they ran and the y variable means the total distance they covered in miles .

The situation can be modelled like a linear equation.

Therefore,

y = mx + b

where

m = slope

b = y-intercept

Cora race will be as follows:

  • y = 3 + 7x

Hana race will be as follows:

  • y = 9 + 4x

The variable x which is the independent variable is the number of weeks each of them ran in the equation.

The variable y which is the dependent variable is the total distance covered in miles.  

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