Question

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

Answer 1

Answer:

Option C.

Step-by-step explanation:

As we can see from the graph, we have plotted the different points.

If the line drawn through the scatter plots, shows the relationship between the length x and mass f(x) then the function will be in the form of

f(x) = mx + b

where m = slope of the line that fits the best

b = y-intercept of the line

Since the plotted line passes through two pints (1, 1) and (10, 94).

Then the slope m = $\frac{y-y'}{x-x'}$

m = $\frac{(94-1)}{10-1}$

m = $\frac{93}{9}$

m = 10.3

Now we place the coordinates (1, 1) in the equation to find the value of y-intercept b.

1 = 10.3 + b

b = 1 - 10.3

b = -9.3 ≈ 9

So the function will be f(x) = 10.3x - 9

Option C is the answer.