The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Write an equation that gives the number of servings y in x pints.
no graph, but the equation should look like
y = kx
for some number k.
To write an equation that gives the number of servings y in x pints, we need to analyze the information given in the graph.
Since the graph shows the number of servings in different amounts of frozen yogurt listed on a carton, we can deduce that the number of servings varies depending on the amount of frozen yogurt.
Let's suppose that the graph displays the following information:
Pints (x) | Servings (y)
-----------------------------
1 | 2
2 | 4
3 | 6
4 | 8
From the information above, we can observe that as the number of pints (x) doubles, the number of servings (y) also doubles.
Based on this relationship, we can write the equation as: y = 2x.
Therefore, the equation that gives the number of servings y in x pints is y = 2x.
To write an equation that gives the number of servings y in x pints, we need to analyze the graph showing the relationship between the two variables.
Observe the graph and note the points plotted on it. Identify two points on the graph that lie on the line, which represents the relationship between the number of servings and the amount of frozen yogurt in pints.
Let's say we select two points: (x1, y1) and (x2, y2).
Using the slope-intercept form of a linear equation, where y = mx + b, we can calculate the slope (m):
m = (y2 - y1) / (x2 - x1)
Now, let's assign one of the points to (x1, y1) and calculate the slope:
For example, suppose we choose the points (1, 2) and (2, 4):
m = (4 - 2) / (2 - 1)
m = 2 / 1
m = 2
Now that we have the slope, we need to find the y-intercept (b), which represents the value of y when x is equal to zero.
Let's use one of the points we already identified. Using (1, 2) as (x1, y1):
y = mx + b can be rewritten as 2 = 2(1) + b
Simplifying, we find:
2 = 2 + b
b = 2 - 2
b = 0
Now we have the slope (m = 2) and the y-intercept (b = 0), we can write the equation that gives the number of servings y in x pints:
y = 2x
Therefore, the equation that gives the number of servings y in x pints is y = 2x.