Acompany rents moving vans for a charge of $30 plus $0.50 per mile. the company only allows its vans to be user for "in-town" moves, with total mileage limited to 100 miles. the total rental cost, c(m), (in dollars) is a function of the distance m (in miles) that the van is driven. state a rule for the function, graph the function, and state its domain and range

The function would be:

Because the rent cost $30 initially, and then $0.50 per mile additionally. So, the $30 is a constant, and the $0.50 is variable, so it has to be with the independent variable.

However, we need to set one restriction, because the problem says that the total mileage is limited to 100 miles. This means that   cannot be more than 100 miles, or it could be equal or less than 100 miles.

So, this restriction would be:

Also, if miles are restricted, then, costs are also restricted to less than 100 miles:

Therefore, the cost is not higher than $80:

Therefore, the function and restrictions would be:

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high