Linear Programming — Unit test Answers

The weight, w, in tons of a school bus is related linearly to its seating capacity, p. A 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. Which equation can be used to find the weight of a 50-passenger bus?

The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

What is the equation of the line perpendicular to that passes through the point (12, –6)?

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

Which description could be written as a linear function?

The constraints of a problem are listed below. What are the vertices of the feasible region?

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

What is the equation of the line perpendicular to that passes through the point (12, –6)?

During free play, there must be more than 4 campers in a group, and the number of boys must not exceed the number of girls by more than 5. Which graph represents this system of inequalities?

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?

Which equation is represented by the graph below?