Answer:
The equation that that represents number of pull ups [tex]'y'[/tex] i can do after [tex]'x'[/tex] weeks is [tex]y=5+x[/tex].
Step-by-step explanation:
Given:
Number of pull ups at the beginning = 5
Number of pull ups after 4 weeks = 9
We need to write the equation for number of pull ups [tex]'y'[/tex] i can do after [tex]'x'[/tex] weeks.
Solution:
Now we will find the number of pull ups increased in 4 weeks.
number of pull ups increased in 4 weeks can be calculated by Number of pull ups after 4 weeks minus Number of pull ups at the beginning.
framing in equation form we get;
number of pull ups increased in 4 weeks = [tex]9-5=4[/tex]
So we can see that;
in 4 weeks = 4 pulls increase
in 1 week = Number of pull ups able to do in 1 week.
By using Unitary method we get;
Number of pull ups able to do in 1 week = [tex]\frac{4}{4}=1[/tex]
Now we can say that;
Let the number of pull ups you can do [tex]'y'[/tex].
Let he number of weeks be [tex]'x'[/tex].
So we can say that;
number of pull ups you can do after 'x' weeks is equal to Number of pull ups at the beginning plus Number of pull ups able to do in 1 week multiplied by number of weeks.
framing in equation form we get;
[tex]y=5+x[/tex]
Hence The equation that that represents number of pull ups [tex]'y'[/tex] i can do after [tex]'x'[/tex] weeks is [tex]y=5+x[/tex].