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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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