A mobile virtual reality (VR) headset is being sold at a local department store for $33.75. This is the cost function associated with the headsets, where x represents the number of headsets manufactured and sold: C(x) = 28.15x + 355. How many VR headsets does the store need to sell to break even?

63 headsets.

Step-by-step explanation:

It is given that, a mobile virtual reality (VR) headset is being sold at a local department store for $33.75.

Let  x represents the number of headsets manufactured and sold.

So, the revenue function is

           ...(i)

The given cost function is

        ...(ii)

In break even point the value of profit is zero. It means revenue and cost are equal.

Divide both sides by 5.6.

Therefore, the store need to sell 63 headsets.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.