Question

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.

Algebra foundations
ANSWERED
asked 2021-01-02
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.

Answers (1)

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.
0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-05-18
Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an estimate for at least $226 and at most $294 for fixing the car, what is the time interval that the mechanic will be working on the job?
asked 2021-05-21
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?
asked 2021-07-04
$30,000 is invested for 3 months at an annual simple interest rate of 3%.
How much interest will be earned?
asked 2021-02-25

The equation \(a=50h+50\) represents the amount a that an air-conditioning repair company charges for h hours of labour. Make a table and sketch a graph of the equation

asked 2020-10-28
RJ’s Plumbing and Heating charges $55 plus $40 per hour for emergency service. Gary remembers being billed over $100 for an emergency call. How long was RJ’s there?
asked 2021-05-11
Two minor league baseball players got a total of 366 hits. Washington had 12 more hits than Sanchez. Find the number of hits for each player.
asked 2021-06-11
Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015. \begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Monthly}\ \text{ } & \text{(millions)} & \text{Revenue per Subscriber Unit ($)}\ \text{2000} & \text{109.5} & \text{48.55}\ \text{2001} & \text{128.4} & \text{49.79}\ \text{2002} & \text{140.8} & \text{51.00}\ \text{2003} & \text{158.7} & \text{51.55}\ \text{2004} & \text{182.1} & \text{52.54}\ \text{2005} & \text{207.9} & \text{50.65}\ \text{2006} & \text{233.0} & \text{49.07}\ \text{2007} & \text{255.4} & \text{49.26}\ \text{2008} & \text{270.3} & \text{48.87}\ \text{2009} & \text{285.6} & \text{47.97}\ \text{2010} & \text{296.3} & \text{47.53}\ \text{2011} & \text{316.0} & \text{46.11}\ \text{2012} & \text{326.5} & \text{48.99}\ \text{2013} & \text{335.7} & \text{48.79}\ \text{2014} & \text{355.4} & \text{46.64}\ \text{2015} & \text{377.9} & \text{44.65}\ \end{matrix} One of the scatter plots suggests a linear model. Use the points at t = 0 and t = 15 to find a model in the form y = mx + b.
asked 2021-06-03
Find a counterexample to show that each statement is false.
The sum of any three odd numbers is even.
When an even number is added to the product of two odd numbers, the result will be even.
When an odd number is squared and divided by 2, the result will be a whole number.
asked 2021-07-02
An investor plans to put $50,000 in one of four investments. The return on each investment depends on whether next year’s economy is strong or weak. The following table summarizes the possible payoffs, in dollars, for the four investments.
Certificate of deposit
Office complex
Land speculation
Technical school
amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500
amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000
Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.
asked 2021-05-14
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)
a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. \([Hint.\ ?x_{j}=219.5.]\) (Round your answer to three decimal places.)
MPa
State which estimator you used.
\(x\)
\(p?\)
\(\frac{s}{x}\)
\(s\)
\(\tilde{\chi}\)
b) Calculate a point estimate of the strength value that separates the weakest \(50\%\) of all such beams from the strongest \(50\%\).
MPa
State which estimator you used.
\(s\)
\(x\)
\(p?\)
\(\tilde{\chi}\)
\(\frac{s}{x}\)
c) Calculate a point estimate of the population standard deviation ?. \([Hint:\ ?x_{i}2 = 1859.53.]\) (Round your answer to three decimal places.)
MPa
Interpret this point estimate.
This estimate describes the linearity of the data.
This estimate describes the bias of the data.
This estimate describes the spread of the data.
This estimate describes the center of the data.
Which estimator did you use?
\(\tilde{\chi}\)
\(x\)
\(s\)
\(\frac{s}{x}\)
\(p?\)
d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)
e) Calculate a point estimate of the population coefficient of variation \(\frac{?}{?}\). (Round your answer to four decimal places.)
State which estimator you used.
\(p?\)
\(\tilde{\chi}\)
\(s\)
\(\frac{s}{x}\)
\(x\)
...