Question

PLEASE HELP ASAP!!!!!! GIVING BRAINLIEST AND A LOT OF POINTS!!

The scatter plot below shows the relationship between the length (x), in meters, and mass f(x), in kg, of a marine animal:

Ordered pairs: 1, 1 and 2, 11 and 3, 21 and 4, 31 and 5, 41 and 6, 52 and 7, 65 and 8, 71 and 9, 82 and 10, 94

Which of the following functions is best represented by the scatter plot? (5 points)


f(x) = 9 − 10.3x
f(x) = −10.3 + 9x
f(x) = −9 + 10.3x
f(x) = 10.3 − 9x

Answer 1

So for this, I'll be using slope-intercept form, which is y=mx+b (m = slope and b = y-intercept).

So the slope formula is $\frac{y_2-y_1}{x_2-x_1}$ . To get the most accurate results, use the first and last point, which is (1,1) and (10,94) and solve from there:

$\frac{94-1}{10-1}=\frac{93}{9}=10.3$

Now that we know the slope, just plug in the slope and a coordinate (I'll be using (10,94)) to solve for the y-intercept.

$94=10.3(10)+b\\ 94=103+b\\ -9=b$

Now that we know both the y-intercept and the slope, we can form our equation as f(x) = -9 + 10.3x, or the third option.

Answer 2

Answer:

Step-by-step explanation:

from the plot, when x=0, f(x) is negative so dat leaves the 2nd or 3rd choice as ans

look at the largest x pt (10,94), the 2nd choice f(x)=-10.3+9x will give f(10)=80 so its wrong too

correct ans is f(x) = -9 + 10.3x