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Snowcat [4.5K]
4 years ago
15

he scatter plot below shows the profit earned each month by a new company over the first year of operation. The owner writes a l

ine of best fit equation, shown below, to model the relationship between profit earned and month. y = 2,500x - 2,500 Explain how you know that the line of best fit equation is appropriate, mentioning both the slope and y-intercept in your response.
Mathematics
1 answer:
juin [17]4 years ago
4 0

The regression line fits the data well. Problem can be when there is a trend, like exponential growth, but someone still wants to use linear regression. Although in this case it seems to be okay. In other words, the data points can be found under or over the line randomly. In a problematic case is when for example, there are 5 data points next to each other under the line. Usually companies don't make profit when they're first starting.

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First option

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4 years ago
Connor is going to see a movie and is taking his 4 kids. Each movie ticket costs $13 and there are an assortment of snacks avail
EleoNora [17]

If Connor buys 3 snacks at 3 dollars each for himself and his 3 children, the net cost (including movie tickets) would be 88 dollars.

If he buys x amount of snacks, his cost will be determined by C=52+3x or C=52+3*x (both are equivalent, but not everyone knows every way to represent multiplication)

Step-by-step explanation:

To find the cost of the snacks:

Cost = Price*NumberOfSnacks, or C=p*n, or C=pn

To find the unit cost of the snack, find the price, the p value, which is 3 dollars.

Then, find the total number of snacks that will be bought. Since each person receives an equal number of snacks, 3 per person, and there are 4 people (himself and his 3 children), we can multiply 3*4 to find the n value, which is now known to be 12.

C=3*12=36. Add to the 13 dollar per person charge for tickets (52 dollars for 4 people), and you get 88 dollars.

To find the cost if he buys x amount of snacks for himself and his 3 children (assumed to be "everyone"), all costs but the n value are to be the same, creating this equation:

C=52+3x

In this context, 52 is the cost of movie tickets, 3 is the cost of the snacks, and x is the total number of snacks bought. C represents total cost.

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3 years ago
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