Unit Test Answers

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?

Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, which inequality represents this situation?

Which inequality is graphed below?

A catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner parties with varied numbers of guests. What is the cost to cater a dinner party with 90 guests?GuestsTotal Cost30$31560$555

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job?

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

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When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?

Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The theater sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the number of bottles of soda. Which linear inequality can be used to find the quantities of popcorn and soda that should be purchased to receive a poster?

Which statements about Jakita’s conclusion are true? Select two options.

Which graph represents ?

What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?

Given , what is the equation of the line that passes through the points (–p, –q) and (p, q)?

Given , what is the average rate of change in f(x) over the interval [1, 5]?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

Which inequality has a solid boundary line when graphed?

What is the x-intercept of the line containing the points (–6, 10) and (12, –2)?

At 9:00 a.m. Monday morning, Thomas fills a beaker with water and places it in the corner of the classroom. At 1:00 p.m. on Tuesday, Thomas examines the beaker and notices that the water level is 42 milliliters. At 11:00 a.m. on Wednesday, the water level has dropped to 31 milliliters. If the evaporation of the water follows a linear function, at what time will the beaker be empty?

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

Which notation best represents the phrase “at least 24”?

In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task.

What is the average rate of change in f(x) over the interval [4,13]?