A train company moves people between Boston and Providence every day. They travel from city to city 7 times each day. The distance between the two cities is 48 miles. In February, there are 28 days. The company's budget allows for 15,000 total miles in February. Do you think the budget is reasonable? Explain.

the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget

Step-by-step explanation:

Given data:

Distance between two cities = 48 miles

Number of days available in February = 28

February budget = 15000 miles

Solution:

If the distance between two cities = 48 miles, and 7 trips are made daily

= 48miles * 7

= 336 miles is travelled each day.

For February

= 28days * 336

= 9408 miles.

Budget – travel distance covered ( February)

= 15,000 - 9408

= 5592 miles.

The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.

So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

the correct answer would be the third option