# A computer repair technician charges $50 per visit plus$30/h for house calls. a) Write an algebraic expression that describes the service charge for one household visit. b) Use your expression to find the total service charge for a 2.5-h repair job.

Question
Algebra foundations
A computer repair technician charges $50 per visit plus$30/h for house calls.
a) Write an algebraic expression that describes the service charge for one household visit.
b) Use your expression to find the total service charge for a 2.5-h repair job.

2021-01-03
a) Let x be the number of hours. The total charge is $50, plus$30/h times the number of hours:
$$\displaystyle{50}+{30}{x}$$
b)Substitute x=2.5 to the expression in part a:
$$\displaystyle{50}+{30}{\left({2.5}\right)}={50}+{75}={125}$$
So, the total service charge is $125. ### Relevant Questions asked 2020-10-28 RJ’s Plumbing and Heating charges$55 plus $40 per hour for emergency service. Gary remembers being billed over$100 for an emergency call. How long was RJ’s there?
Mathematical modeling is about constructing one or two equations that represent real life situations. What are these math models used for? Provide at least two equations that can be used in the real world. For example: The equation $$s = 30\ h\ +\ 1000$$ can be used to find your salary given the fact you earn a fixed salary of $1000 per month, plus$30 per hours. Here s represents the total salary and h is the number of hours you worked.
M. F. Driscoll and N. A. Weiss discussed the modeling and solution of problems concerning motel reservation networks in “An Application of Queuing Theory to Reservation Networks” (TIMS, Vol. 22, No. 5, pp. 540–546). They defined a Type 1 call to be a call from a motel’s computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter $$\displaystyle\lambda={1.7}$$.
Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be:
a) exactly one.
b) at most two.
c) at least two.
(Hint: Use the complementation rule.)
d. Find and interpret the mean of the random variable X.
e. Determine the standard deviation of X.
Luis and raul are riding there bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows Luis position at two points during his ride to the beach. Write an equation in slope intercept form to represent Luis's Ride from his house to the beach. If raul lives 5 miles closer to the beach than Luis, At what speed must Raul ride for the plan to work?
Determine the algebraic modeling a.
One type of Iodine disintegrates continuously at a constant rate of $$\displaystyle{8.6}\%$$ per day.
Suppose the original amount, $$\displaystyle{P}_{{0}}$$, is 10 grams, and let t be measured in days.
Because the Iodine is decaying continuously at a constant rate, we use the model $$\displaystyle{P}={P}_{{0}}{e}^{k}{t}$$ for the decay equation, where k is the rate of continuous decay.
Using the given information, write the decay equation for this type of Iodine.
b.
Use your equation to determine the half-life ofthis type of Fodine, That is, find ‘out how many days it will take for half of the original amount to be left. Show an algebraic solution using logs.
1. Find each of the requested values for a population with a mean of $$? = 40$$, and a standard deviation of $$? = 8$$ A. What is the z-score corresponding to $$X = 52?$$ B. What is the X value corresponding to $$z = - 0.50?$$ C. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores? D. What is the z-score corresponding to a sample mean of $$M=42$$ for a sample of $$n = 4$$ scores? E. What is the z-scores corresponding to a sample mean of $$M= 42$$ for a sample of $$n = 6$$ scores? 2. True or false: a. All normal distributions are symmetrical b. All normal distributions have a mean of 1.0 c. All normal distributions have a standard deviation of 1.0 d. The total area under the curve of all normal distributions is equal to 1 3. Interpret the location, direction, and distance (near or far) of the following zscores: $$a. -2.00 b. 1.25 c. 3.50 d. -0.34$$ 4. You are part of a trivia team and have tracked your team’s performance since you started playing, so you know that your scores are normally distributed with $$\mu = 78$$ and $$\sigma = 12$$. Recently, a new person joined the team, and you think the scores have gotten better. Use hypothesis testing to see if the average score has improved based on the following 8 weeks’ worth of score data: $$82, 74, 62, 68, 79, 94, 90, 81, 80$$. 5. You get hired as a server at a local restaurant, and the manager tells you that servers’ tips are $42 on average but vary about $$12 (\mu = 42, \sigma = 12)$$. You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don’t know if you will make more or less in tips. After working 16 shifts, you find that your average nightly amount is$44.50 from tips. Test for a difference between this value and the population mean at the $$\alpha = 0.05$$ level of significance.
A salesperson earns $50 a day plus 12% commission on sales over$200. If her daily earnings are \$76.88, how much money in merchandise did she sell?
Which of these are propositions? What are the truth values of those that are propositions? a) Do not pass go. b) What time is it? c) There are no black flies in Maine. d) 4 + x = 5. e) The moon is made of green cheese. f) $$\displaystyle{2}≥{100}$$. g) Kochi is the capital of Kerala state. h) 2 + 3 = 5. i) 5 + 7 = 10. j) Answer this question.