the graph shows the amounts of almonds in gram for different amounts of oats in cups in a granola mix. label the point (1,k) on the graph, find the value of k and explain its meaning. it's due tommarow please help!

First you need to figure out the formula for the line - this can be done using two obvious measurements in the plot (x,y): namely (0,0) and (2,50). The linear function that goes through these two points is [tex]y = 25x[/tex].

Now you can determine k (the function value for x=1) and that is [tex]k = 25\cdot1=25[/tex]

The meaning of k: you can find 25 grams of almonds in 1 cup of oat. (btw, if we were to take this literally it wouldn't make much sense - 1 cup of oat is 1 cup of oat and there is nothing else, but anyway).

joaobezerra joaobezerra · Answer 2 · 2021-10-19T11:09:15+02:00

Using a linear function, it is found that the value of k is 25, which means that for 1 cup of oats, 25 grams of almonds are needed.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

In this problem:

When x = 0, y = 0, thus [tex]b = 0[/tex].
When x = 2, y = 50. The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{50 - 0}{2 - 0} = 25[/tex]

The equation is:

[tex]y = 25x[/tex]

When x = 1:

[tex]k = 25(1) = 25[/tex]

The value of k is 25, which means that for 1 cup of oats, 25 grams of almonds are needed.

The point is labeled on the sketch of the graph given below.

A similar problem is given at https://brainly.com/question/16302622