The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x) and this can be determined by using the point-slope form of a line.
Given :
- A graph where the x-axis represents the number of fish in grams and the y-axis represents the number of calories.
- Points - (100,150) and (200,300)
The point-slope form can be used to determine the equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.
The point-slope form is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex] ----- (1)
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the equation (1).
[tex]\dfrac{y-150}{x-100}=\dfrac{300-150}{200-100}[/tex]
[tex]2(y-150)=3(x-100)[/tex]
2y - 300 = 3x - 300
2y - 3x = 0
2y = 3x
The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x).
For more information, refer to the link given below:
https://brainly.com/question/14022834
