Question

In: Math

The number of customers in a local dive shop depends on the amount of money spent...

The number of customers in a local dive shop depends on the amount of money spent on advertising. If the shop spends nothing on advertising, there will be 105 customers/day. If the shop spends $100, there will be 170 customers/day. As the amount spent on advertising increases, the number of customers/day increases and approaches (but never exceeds) 300 customers/day.

(a) Find a linear to linear rational function y = f(x) that calculates the number y of customers/day if $x is spent on advertising.

(b) How much must the shop spend on advertising to have 200 customers/day?

(c) Sketch the graph of the function y = f(x) on the domain 0 ≤ x ≤ 5000.

(d) Find the rule, domain and range for the inverse function from part (c).

Domain:

Range:

Explain in words what the inverse function calculates.

Solutions

Expert Solution

The given Question can be solved by forming a linear equation according to the given condition.

I have provided a detailed complete solution to this problem, hope it helps. Please do upvote if you found the solution helpful. Feel free to ask any doubt regarding this question in the comment section. Thanks!

milcah answered 2 years ago
Next > < Previous

Related Solutions

1. Last year, the mean amount spent by customers at a local sandwich shop was $18.50....
1. Last year, the mean amount spent by customers at a local sandwich shop was $18.50. The shop owner believes that the mean may be higher this year. State the appropriate null and alternate hypotheses. 2. A test is made of H0 : m = 15 versus H1 : m < 15. The true value of m is 13 and H0 is not rejected. Is this a Type I error, a Type II error, or a correct decision? 3. A...
Predicting the Amount of Money Spent on Insured Customers For this assignment, we will be analyzing...
Predicting the Amount of Money Spent on Insured Customers For this assignment, we will be analyzing insured customers' data for an insurance company: Based on a sample data that consists of the profile of insured customers, we want to be able to predict the dollar amount of money spent by the insurance company on insured customers. Insured ustomers' Data The insured customers' data is in a csv file. It has information sconsisting of: 1.age 2.sex (female, male) 3.BMI 4.Children 5.Smoker...
The amount of money spent by Superstore customers is normally distributed with mean 150 and a...
The amount of money spent by Superstore customers is normally distributed with mean 150 and a standard deviation of 12. Suppose that a sample of 64 customers are selected. Answer the following questions. What is the mean of the sampling distribution? 150 140 170 240 What is the standard error of the sampling distribution? 1.23 1.50 1.55 1.20 What is the probability that the average spending by the customers is greater than 154? 0.9962 0.9966 0.0038 0.0048 What is the...
1 - The number of repairs produced by a computer repair shop depends on the number...
1 - The number of repairs produced by a computer repair shop depends on the number of workers as follows: Number of workers Number of repairs 0 0 1 10 2 22 3 36 4 54 5 58 6 66 7 70 8 69 Assume inputs other than labor are fixed in the short run. a) Add two additional columns to the table and enter the marginal product and average product for each number of workers. b) Over what range...
The number of repairs produced by a computer repair shop depends on the number of workers...
The number of repairs produced by a computer repair shop depends on the number of workers as per the table below: No. of workers per week No. of Repairs 0 0 1 8 2 20 3 35 4 45 5 52 6 57 7 60 Assume that all inputs of production other than labour are fixed in the short run. Add two additional columns to the table and compute MP and AP for each no. of workers. a. What are...
The distribution of the amount of money spent by students on textbooks in a semester is...
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between _____$ and _____$ on textbooks in a semester. Question 12 Type numbers in the boxes. 1 points The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard...
The distribution of the amount of money spent by students on textbooks in a semester is...
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between ____$ and ____$ on textbooks in a semester. Question 12 Type numbers in the boxes. 1 points The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard...
In a survey of its customers, a local tire shop found that 52% of its customers...
In a survey of its customers, a local tire shop found that 52% of its customers are satisfied with its services and 47% are not. The sample size was 250. A.) What percentage of customers do you believe are satisfied with this service? USe 95% confidence interval. B.) Use 99% confidence interval and interpret your results. What would you suggestion be to the manager?   
It is estimated that amounts of money spent on gasoline by customers at a gas station...
It is estimated that amounts of money spent on gasoline by customers at a gas station in Bristol, Englands, follow a normal distribution with a standard deviation of £3,4. It is also found that 5% of all the customers spent more than £30. What percentage of customers spent less than £25? (explain with steps)
4. Below is the amount that a sample of 15 customers spent for lunch ($) at...
4. Below is the amount that a sample of 15 customers spent for lunch ($) at a fast-food restaurant: 7.42 6.29 5.83 6.50 8.34 9.51 7.10 5.90 4.89 6.50 5.52 7.90 8.30 9.60 6.80 Recall the lunch at a fast-food restaurant problem from Assignment 4. Let µ represent the population mean amount spent for lunch ($) at a fast-food restaurant. Previously you calculated the mean and standard deviation of the fifteen sample measurements to be x ̅ = $7.09 and...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT