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prohojiy [21]
1 year ago
14

Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint. The average

Mathematics
1 answer:
bagirrra123 [75]1 year ago
7 0

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.

<h3>How to find the y-intercept of the graph?</h3>

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:

brainly.com/question/14180189.

#SPJ1

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25 minutes and 33 seconds

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A bird flies 6 1/4 mi in 20 min.
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The rate at which a duck gains weight is proportional to the difference between its adult weight and its current weight. At time
kogti [31]
DB/dt = 1/5(100 - B)
5/(100 - B) dB = dt
-5 ln (100 - B) = t + C
Since B(0) = 20, then
-5 ln (100 - 20) = C
i.e. C = -5 ln 80

Thus -5 ln (100 - B) = t - 5 ln 80
or t = 5 ln 80 - 5 ln (100 - B) = 5 ln (80 / (100 - B))

When the weight = 40 grams
t = 5 In (80 / 100 - 40) = 5 In (80 / 60) = 5 ln (4/3) = 1.438 days
Rate of weight gain = 40 / 1.438 = 27.8 grams per day

When the weight = 70 grams
t = 5 ln (80 / 100 - 70) = 5 ln (80 / 30) = 5 ln (8/3) = 4.9 days
Rate of weight gain = 70/4.9 = 14.27 grams per day.

Therefore, the duck gains weight faster when it weighs 40 grams.
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3 years ago
James and Bethany Morrison are celebrating 10th anniversary by having a reception at the local reception hall. They have a budge
kompoz [17]

Answer:

At most, they can invite 119 people and stay within their budget

Step-by-step explanation:

4,000 = 70 + 33x

3,930 = 33x

3930/33 = x

119 = x

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4,000 = 70 + 33x

4,000 = 70 + 33(119)

4,000 = 70 + 3,927

4,000 = 3,997

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