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Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint. The average
15 + 3x
3+x
15+ 3x dollars per pint. If the equation y =
=
is graphed in the
3+x
cost of all the berries he bought was
xy-plane, what quantity will be represented by the y-intercept of the graph?
O The total cost, in dollars, of all the raspberries Ethan bought
O The average cost, in dollars per pint, of all the raspberries Ethan bought
O The total cost, in dollars, of all the blueberries Ethan bought
O The average cost, in dollars per pint, of all the blueberries Ethan bought

Sagot :

The y-intercept represents the average cost, in dollars per pint, of all the raspberries Ethan bought. Therefore, option B is the correct answer.

Given that, Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint.

The average is (15 + 3x)/(3+x) per pint.

We need to find what quantity will be represented by the y-intercept of the graph.

How to find the y-intercept of the graph?

Since the y-intercept always has a corresponding x-value of 0, replace x with 0 in the equation and solve for y. On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

Now, the graph of y=(15 + 3x)/(3+x)is given below.

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,5)

So, the y-intercept represents the average cost, in dollars per pint, of all the raspberries Ethan bought.

Therefore, option B is the correct answer.

To learn more about y-intercept visit:

https://brainly.com/question/14180189.

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