College Algebra 10 questions
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Student: _____________________ Date: _____________________
Instructor: James Howard Course: Algebra Test Assignment: Quiz 3
Data on the average annual household use of electricity,
in kilowatthours, are listed in the following table. Use any
two data points to model the data with a linear function
and predict the average annual household electricity use
in .2019
Year, x Annual Electricity Use
(in kilowatthours)
, 02008 11,507
, 12009 11,289
, 22010 10,843
, 32011 10,823
A linear function that models the data is y .=
(Type your answer in slopeintercept form. Round to the nearest integer as needed.)
The average annual household electricity use in is kilowatthours.2019
(Round to the nearest integer as needed.)
A person buys a phone for $ and signs up for a singleline phone plan with 2000 monthly anytime minutes. The plan
costs $ per month. Write an equation that can be used to determine the total cost, C(t), of this phone plan for t
months. Then, find the cost for months, assuming that the number of minutes the person uses does not exceed 2000 per
month.
85
119.94
22
An equation that can be used to determine the total cost, C(t), of the phone plan for t months is C(t) .=
(Use integers or decimals for any numbers in the expression.)
The cost for months, assuming that the number of minutes the person uses does not exceed 2000 per month, is
$ .
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In the 2012 2013 school year, approximately foreign students studied in country A. The number of country A
students who studied abroad that same year was about of the number of foreign students who studied in
the country A. Find the number of country A students who studied abroad during the 2012 2013 school year.
620,000
three fourtieths
About country A students studied abroad during the 2012 2013 school year.
The perimeter of a rectangular field is yd. The length is yd longer than the width. Find the dimensions.360 60
The smaller of the two sides is yd.
The larger of the two sides is yd.
Write a slopeintercept equation for a line that passes through and .(0, − 8) (7, − 4)
The slopeintercept equation for the line is .
(Use integers or fractions for any numbers in the equation.)
(1) crimes per 1000 people. cities. cities per year. years per city.
years. years per thousands of people. crimes per 1000 people per year. years per crimes per 1000 people.
thousands of people. thousands of people per year.
The number of crimes that occurred in a certain city per 1000 people had decreased from in 1920 to in . Find
the average rate of change in the number of crimes per 1000 people that occurred from 1920 to .
45.7 45.1 1950
1950
The average rate of change was (1)
(Round to the nearest hundredth as needed.)
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The chart to the right shows a country's annual egg production. Model the data in the chart with a
linear function, using the points ( , ) and ( , ). Let x represent the year, where
x 0 represents , x 1 represents , and so on, and let y represent the egg production
(in billions). Predict egg production in .
1995 52.7 1999 61.3
= 1995 = 1996
2001
Year Egg production
(in billions)
1995 52.7
1996 53.6
1997 55.4
1998 58.1
1999 61.3
2000 64.8
2001 70.7
The linear model for the data is .
(Type your answer in slopeintercept form. Use integers or decimals for any numbers in the equation. Round to three
decimal places as needed.)
What is the predicted egg production in ?2001
billion
(Type an integer or a decimal. Round to two decimal places as needed.)
Find the slope of the line containing the following points.
and 2b,4b 2
2b + 2h,(2b + 2h) 2
The slope of the line containing the points and is .2b,4b 2
2b + 2h,(2b + 2h) 2
Find the zero of the linear function given below.
f(x) = x + 15
The zero of the linear function is .
(Simplify your answer.)
Kara's Custom Tees experienced fixed costs of $ and variable costs of $ a shirt. Write an equation that can be used
to determine the total expenses encountered by Kara's Custom Tees. Let x be the number of shirts, and let C(x) be the
total cost of producing x shirts. Then, calculate the cost of producing shirts.
400 3
7
An equation that can be used to determine the total cost of producing x shirts is C(x) .=
The cost of producing shirts is $ .7