2nd COPY of P2.1-P2.3 Quiz

Read the directions in the picture. Then complete the sentence below. To answer, write your answers separated by a semi-colon (;).

The graph does not represent a function. The graph is a _________ line, so it _________ represent a function.

Example: cool;does

(a)  

Which of the following equations do not represent linear functions?

Note: the carrot symbol "^" means power. So x^2 is x squared.

• 12 = 2x^2 + 4y^2

• y − x + 3 = x

• x = 8

• x = 9 − (3/4)y

• y = (5x) / 11

The number y of calories burned after x hours of rock climbing is represented by the linear function y=650x.

What is the domain of the function? Is the domain discrete or continuous and why?

• all real numbers; continuous; the domain is not restricted, so the time can be any real number.

• x≥0; continuous; the time can be any real number greater than or equal to 0.

• y≥0; continuous; the time can only be whole numbers of hours greater than or equal to 0.

• all whole numbers; discrete; the calories burned can be any number greater than or equal to 0.

A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4x+6y=48 models this situation, where x is the number of cars and y is the number of vans.

Interpret the intercepts.

• The x-intercept shows they can take 12 cars and 0 vans.

• The x-intercept shows they can take 0 cars and 8 vans.

• The y-intercept shows they can take 0 cars and 8 vans.

• The y-intercept shows they can take 12 cars and 0 vans.

Describe the error in finding the intercepts of the graph of the equation. (see picture)

• Solving the equations locates 1 intercept, not 2 intercepts.

• The equation used to find the x-intercept is solved incorrectly.

• The equation used to find the y-intercept is solved incorrectly.

• The x- and y-coordinates of the intercepts are reversed.

Identify the graph of 5x − 3y = −30.

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You are organizing a class trip to an amusement park. The cost to enter the park is $30. The cost to enter with a meal plan is $45. You have a budget of $2700 for the trip. The equation 30x + 45y = 2700 models the total cost for the class to go on the trip, where x is the number of students who do not choose the meal plan and y is the number of students who do choose the meal plan. (see picture)

Interpret the intercepts of the graph. Describe the domain and range in the context of the problem.

• The x-intercept indicates 90 students can go if 0 of them choose the meal plan.

• Domain: 0 to 90 students not choosing the meal plan.

• Range: 0 to 60 students choosing the meal plan.

• The y-intercept indicates 60 students can go if all of them choose the meal plan.

A linear function m models the amount of milk sold by a farm per month. The amount decreases 500 gallons for every $1 increase in price. Look at the picture of the graph, m(0)=3000.

Interpret the x- and y-intercepts of the graph.

• The x-intercept means that no milk is sold when the price reaches $6 per gallon and the y-intercept means that the maximum amount of milk sold is 3000 gallons.

• The x-intercept means that the maximum amount of milk sold is 3000 gallons and the y-intercept means that no milk is sold when the price reaches $6 per gallon.

• The x-intercept means that the amount of milk sold decreases 500 gallons for every $1 increase in price and the y-intercept means that the maximum amount of milk sold is 3000 gallons.

• The x-intercept means that the amount of milk sold decreases 500 gallons for every $1 increase in price and the y-intercept means that no milk is sold when the price reaches $6 per gallon.

On a separate sheet of paper, graph the four equations below in the same coordinate plane.

3y = −x − 3

2y − 14 = 4x

4x − 3 − y = 0

x − 12 = −3y

After graphing, what enclosed shape do the lines form?

• rectangle

• square

• rhombus

• trapezoid

Determine whether x = 3 + 15y represents a linear or nonlinear function. Explain.

• It is linear because it can be rewritten in the form y = mx+b

• It is not linear because it cannot be rewritten in the form y = mx+b

• It is nonlinear because it can be rewritten in the form y = mx+b

• It is not nonlinear because it cannot be rewritten in the form y = mx+b