Page 318 - Algebra 1

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Multiple Choice The following data set shows the number of minutes 8 students spent studying last night: 30, 90, 60, 30, 90, 40, 90, 50. Which measure has a value of 55? A mean B median C mode D range
Write Can 7 be the mode of 1, 2, 3, 4, 7, 7 even though it fails to occur in the middle of the data set? Explain.
Multi-Step Matthew opened a checking account last year for $150. Since then, the balance has increased by 15%, decreased by 8%, and then increased again by 25%. a. What is the account balance now?
b. Did the balance increase or decrease over the original amount? By what percent?
Travel A round-trip plane fare from Orlando, Florida, to Manila, Philippines, during autumn costs $1689. However, the same round-trip flight during winter costs $3474. Find the percent of change.
Provide a counterexample for this statement: The sum of an even number and an odd number is an even number.
Analyze Juan recorded the number of points he scored individually in the last 13 basketball games his team played: 33, 12, 18, 21, 10, 18, 14, 20, 11, 24, 0, 0, 0. Tell why the mode is not the best measure of central tendency to describe the data set.
Hockey In hockey, a goalie gets a shutout if he or she can prevent the opposing team from scoring for the entire game. Study the data in the table. Identify the outlier. What would this outlier represent in the data?
Multi-Step A cell phone bill can be calculated using the equation 10y = 3x + 360, where x is the number of minutes used and y is the amount of the bill.
a. Rewrite this equation in standard form.
b. Calculate the y-intercept and explain its real-world meaning. c. Calculate the x-intercept and explain its real-world meaning.
Recreation The formula h = -16t2 + 12t + 2 can be used to find the height of a ball that is kicked into the air from 2 feet off the ground with an initial velocity of 12 feet/second. Rewrite the formula by factoring the right side of the equation using the GCF and making the t2-term positive.
Find 93% of 24 using a proportion.
Transporting Freight Ramps are often used to load freight on to trucks for
transporting. _The figure at right shows one possible structure of a ramp.
x
Shutouts for the 2006–2007 Regular Hockey Season
2 5 8 3 5 2 4 7 5 4 6 2 5 4 12 5 3 5 2 7 4 5 3 35 4 2 5 2 2
The ratio comparing the area of the top of the ramp to the area of one
xl
of its sides is 0.5(x2 + 4x) . Simplify this expression.
x
x + 4
l
Lesson 48 303