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dem82 [27]
3 years ago
12

Huong collects coins. Over a three-year period she collected 1,000 nickels. After organizing them by year, she found that the nu

mber of nickels from a given year was related to the number minted that year:
minted (100 mill) | 3.3 | 7.8 | 11.8 | 12.6 | 15.1 | 16.4 |

In sample | 3 | 19 | 27 | 24 | 30 | 43 |


a.) Logarithmic
b.)exponential
c.)linear
d.)quadratic
Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

C.) Linear

Step-by-step explanation:

The line of best fit is a straight line.

Linear also make sense because the more nickles minted in a year, the more chance for a nickle to be from that year.

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What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

\frac{3}{x}  +  \frac{5}{ {x}^{2}  }  \\  =  \frac{3x}{ {x}^{2} }   +  \frac{5}{ {x}^{2} }  \\  =  \frac{3x + 5}{ {x}^{2} }

so as you got it:

\frac{(ax + b)}{ {x}^{2} }  =  \frac{3x + 5}{ {x}^{2} }  \\ a = 3 \\ b = 5

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3 years ago
Membership to a music club costs $165. Members
dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

165+25m

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

40m

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

165+25m=40m

And solve for m. Let's subtract 25m from both sides:

165=15m

Now, divide both sides by 15:

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So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

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