Ahorse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. the more the company charges for a tour, the fewer people decide to take the tour.

the function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

the function p(x)=80−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person. what does (p⋅c)(2) mean about the horse-drawn carriage tour company?

a) the horse-drawn carriage tour company can expect to take in $4960 when the charge per customer is $40.

b) the horse-drawn carriage tour company can expect to take in $4560 when the charge per customer is $60.

c) the horse-drawn carriage tour company can expect to take in $4960 when the charge per customer is $60.

d) the horse-drawn carriage tour company can expect to take in $4560 when the charge per customer is $40.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

if the probability is 1/12, 75 people will receive a $25 gift card

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.

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.

i dont understand

step-by-step explanation: