Question
Use the image to answer the question.
A graph shows the x-axis representing weight in ounces ranging from 0 to 6 in increments of 2, and the y-axis representing cost in dollars ranging from 0 to 15 in increments of 5. A line is drawn ending with an arrow. The line begins at the origin and passes through left parenthesis 2 comma 10 right parenthesis.
At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with its constant of proportionality.
(1 point)
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A graph shows the x-axis representing weight in ounces ranging from 0 to 6 in increments of 2, and the y-axis representing cost in dollars ranging from 0 to 15 in increments of 5. A line is drawn ending with an arrow. The line begins at the origin and passes through left parenthesis 2 comma 10 right parenthesis.
At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with its constant of proportionality.
(1 point)
$$
Skip to navigation
Answers
GPT 3.5
The equation of the graph can be written as y = kx, where y represents the cost in dollars and x represents the weight in ounces. To find the constant of proportionality (k), we can use the given point (2,10) on the line.
Substituting the values into the equation, we get:
10 = k * 2
Simplifying the equation, we divide both sides by 2:
k = 10/2
Simplifying further, we get:
k = 5
So, the constant of proportionality is 5. The equation of the graph is y = 5x.
Substituting the values into the equation, we get:
10 = k * 2
Simplifying the equation, we divide both sides by 2:
k = 10/2
Simplifying further, we get:
k = 5
So, the constant of proportionality is 5. The equation of the graph is y = 5x.