Question

PLZ HELP ASAP!!!!!!!! DUE TOMORROW!!

Answer 1

Answer:

$y=2.5x$

Step-by-step explanation:

We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.

To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

$m=\frac{y_2-y_1}{x_2-x_1}$

m= Slope (rate of change).

$y_2-y_1$=Difference between two y-coordinates.

$x_2-x_1$=Difference between corresponding x-coordinates of the y-coordinates.    

Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,  

$m=\frac{10-0}{4-0}$

$m=\frac{10}{4}$

$m=2.5$

The slope of our given line is 2.5.

Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: $y=mx+b$, where m=slope and b = y-intercept (initial value).

Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,

$10=2.5\times 4+b$

$10=10+b$

$10-10=b$

$0=b$

Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,

$y=2.5x+0$

$y=2.5x$

Therefore, the equation $y=2.5x$ will give the number of servings y in x pints.