Unit Test — Unit test Answers

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

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

Which function is most likely graphed on the coordinate plane below?

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?

Which ordered pair makes both inequalities true?y –x + 4

Which ordered pairs make both inequalities true? Select two options. y x + 1

Which graph represents y – 1 = 2(x – 2)?

The graph of a system of inequalities is shown.

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.What is the administration fee?

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Anatoliy has?

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.Which equation can be solved to determine x, the number of hours after which the costs would be the same?

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

Which equation represents a nonlinear function?

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.208 + 10x = 36xHow many purses must she sell in order to break even?

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?

A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below?

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1