Answer:
,
.
Step-by-step explanation:
Any point in coordinate system has a x-coordinate and a y-coordinate. In coordinate system any point p will be represented as .
Any three points in coordinate system will lie on the same horizontal line if they have same values for their y-coordinate. While the values for x-coordinate for these points should be different.
The answer is:
The correct option is:
c)
Inversing a function means switching the range and domain of the function. To inverse a function we need to rewrite the variable (x) with the function (f(x) or y), and rewrite the function (f(x) or y) with the variable (x), and then, isolate "y" or "f(x)".
Also, we need to remember how to isolate the variable from a logarithmic function.
So, we are given the function:
Which it's equal to write:
Then, inversing the function we have:
Hence, we have that the correct answer is the option:
c)
Have a nice day!
Answer:
1) The equation of the line of best fit is y = 0.3·x + 5
2) The time it would take a player that can complete 22 leg press repetitions to run 40 yards is 11.6 seconds
Step-by-step explanation:
1) The given data are;
Leg press (Reps): 40-yard Dash Time
12 8.6
32 14.6
7 7.1
11 8.3
23 11.9
28 13.4
15 9.5
From the attached graph we observe that with the data sorted in increasing order, there is a linear relation between the number of leg presses and the time to complete a 40 yard dash
The slope = (14.6 - 7.1)/(32 - 7) = 0.3
The equation of the line of best fit is the linear equation of the data given in point and slope form as follows;
y - 7.1 = 0.3×(x - 7)
y - 7.1 = 0.3·x - 2.1
The equation of the line of best fit is therefore;
y = 0.3·x + 5
Where;
y = The time to complete the 40-yard dash
x = The number of leg press completed
2) When x = 22, we have;
y = 0.3 × 22 + 5 = 11.6 seconds
If a player can do 22 leg-press repetitions, it would take the player 11.6 seconds to complete the 40 yard-dash.
