Hey there!
This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.
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Column 1
Age: 22
Height of Jump in Inches: 15.4
15.4=0.3(22)+11.8
15.4=6.6+11.8
15.4=18.4
This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.
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Column 2
Age: 24
Height of Jump in Inches: 17
17= 0.3(24)+11.8
17=7.2+11.8
17=19
This is equation is also false.
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Therefore, this equation is not a good fit for the data given.
I hope that this helps! Have a wonderful day!
Answer:
Inverse Function: f^-1(x) = 9/4x + 9
Step-by-step explanation:
To find the inverse function we can interchange the position of the variables x and y, and then solve for y;
y = 4/9x - 4 => x = 4/9y - 4,
x = 4/9y - 4,
4/9y = x + 4,
y = 9/4x + 9/4(4),
y = 9/4x + 9/ f^-1(x) = 9/4x + 9
U=v+ 2t=
U/2t = r+2t/2t
=U/2t=r OR. r= U/2t
13 divided by 1 and 3/7=9 and 1/10
$9.10
