A picture-framing company sells two types of glass: regular and nonglare. For a piece of nonglare glass, the charge is equal to the length of the longest side in inches multiplied by the rate $0.75 per inch. For what length will the charge for nonglare glass be the same as the charge for regular glass? What will the charge be? Explain your answers.

The cost of tickets to a whale-watching tour depends on the number of people in the group. For each additional person, the cost per ticket decreases by $1. For a group with only two people, the cost per ticket is$44. Use the data to write an expression that models the cost per ticket in terms of x, the number of people in a group.

The cost of tickets to a whale-watching tour depends on the number of people in the group. For each additional person, the cost per ticket decreases by $1. For a group with only two people, the cost per ticket is$44. What is the vertex of the graph of T(x)? What do the coordinates of the vertex represent in this situation?

A picture-framing company sells two types of glass: regular and nonglare. For a piece of nonglare glass, the charge is equal to the length of the longest side in inches multiplied by the rate $\$0.75$ per inch. Write a linear function $f(x)$ that gives the charge in dollars for a piece of nonglare glass whose longest side measures x inches.

The cost of tickets to a whale-watching tour depends on the number of people in the group. For each additional person, the cost per ticket decreases by $1. For a group with only two people, the cost per ticket is$44. Write a quadratic function in standard form that models T(x), the total cost of the tickets for a group with x people.

You are riding in an enclosed train car moving at $90 \mathrm{~km} / \mathrm{h}$. If you throw a baseball straight up, where will the baseball land? $(a)$ In front of you. $(b)$ Behind you. $(c)$ In your hand. $(d)$ Can't decide from the given information.

A group of 6 friends go golfing. The scores of 5 of the golfers are 95, 88, 96, 90, and 95. The average for the group is 93. What is the sixth golfer's score? Explain.

Use the following experiment. Two-digit numbers are formed, with replacement, from the digits 0-9. How many two-digit numbers are possible?

The base of the isosceles triangle is also a side of regular pentagon PENTA. Find the measure of each angle.

Angle PAN

If the disturbance thickness of a laminar boundary layer of oil at a distance of $0.75 \mathrm{~m}$ from a plate's front edge is $10 \mathrm{~mm}$, find the free-stream velocity of the oil. Assume $\nu_0=40\left(10^{-6}\right) \mathrm{m}^2 / \mathrm{s}$.

For this exercise, your instructor may assign you to a group.

Each person should write down what he or she finds surprising about this definition and share it with the group.

Explain how the story of the lighthouse keeper's cat shows what can happen when new species are introduced to new and isolated habitats:

What is the relationship between the side length and the apothem in each figure? a. a square b. a regular hexagon c. an equilateral triangle

The production-scheduling problem at the electronics plant requires the plant manager to find a combination of $\mathrm{CP}^{\circ} \mathrm{I}$ and $\mathrm{CP}^{\circ} \mathrm{II}$ models that will give greatest profit. But there are constraints or limits on the choice. Each day, the plant has the capacity for:

$\bullet$ at most 240 hours of assembly labor with each $\mathrm{CP}^{\circ} \mathrm{I}$ requiring 0.6 hours and each $\mathrm{CP}^{\circ} \mathrm{II}$ requiring 0.3 hours.

$\bullet$ at most 160 hours of testing labor with each $\mathrm{CP}^{\circ} \mathrm{I}$ requiring 0.2 hours and each $\mathrm{CP}^{\circ} \mathrm{II}$ requiring 0.4 hours.

$\bullet$ packing at most 500 video game systems with each model requiring the same time. The company makes profit of $\$50$ on each $\mathrm{CP}^{\circ} \mathrm{I}$ model and $\$75$ on each $\mathrm{CP}^{\circ} \mathrm{II}$ model. One way to search for the production plan that will maximize profit is to make some guesses and test the profit prospects for those guesses. Here are three possible production plans for $\mathrm{CP}^{\circ} \mathrm{I}$ and $\mathrm{CP}^{\circ} \mathrm{II}$ video game models.

Plan 1: Make 100 of model $\mathrm{CP}^{\circ} \mathrm{I}$ and 200 of model $\mathrm{CP}^{\circ} \mathrm{II}$.

Plan 2: Make 200 of model $\mathrm{CP}^{\circ} \mathrm{I}$ and 100 of model $\mathrm{CP}^{\circ} \mathrm{II}$.

Plan 3: Make 400 of model $\mathrm{CP}^{\circ} \mathrm{I}$ and 100 of model $\mathrm{CP}^{\circ} \mathrm{II}$.

a. Check each production plan by answering the following questions.

i. Will the required assembly time be within the limit of 240 hours per day?

ii. Will the required testing time be within the limit of 160 hours per day?

iii. Will the number of systems produced fall within the packing limit of 500 units per day?

iv. If the constraints are satisfied, what profit will be earned?

b. Design and check a plan of your own that you think will produce greater profit than Plans 1, 2, and 3 while satisfying the assembly, testing, and packing constraints.