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Sagot :
Using linear functions, it is found that:
a)
[tex]y_A(x) = 8 + x[/tex]
[tex]y_B(x) = 4 + 2x[/tex]
b) They will have the same height after 4 weeks.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:
[tex]y_A(x) = 8 + x[/tex]
Plant B has a height of 4 centimeters and grows 2 centimeters each week, hence:
[tex]y_B(x) = 4 + 2x[/tex]
The system is:
[tex]y_A(x) = 8 + x[/tex]
[tex]y_B(x) = 4 + 2x[/tex]
Item b:
Equaling the equations:
[tex]y_A(x) = y_B(x)[/tex]
[tex]8 + x = 4 + 2x[/tex]
[tex]x = 4[/tex]
They will have the same height after 4 weeks.
To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
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