You don't have to answer all of them so me on question a

the fee for taxi cab is $2.50 per passenger and $0.50 for each mile. a group of friends has $22.50 for cab fare.

a. write a linear inequality to represent how many miles, y, the group can travel if there are x people in the group.

b. if there are 6 people in the group, what is the furthest they can travel with their budget?

c. if the group wants to travel 15 miles, what is the greatest number of passengers that can travel by taxi?

Part A

The inequality would be

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Explanation:

x = number of people

2.50x = total cost of $2.50 per passenger, there are x passengers

y = number of miles

0.50y = total cost traveling y miles at $0.50 per mile

2.50x + 0.50y = grand total cost of everything mentioned so far

we want the grand total to be 22.50 or less, as this is the max budget. So that's why I set 2.50x+0.50y to be less than or equal to 22.50

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Part B

15 miles

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Explanation:

We have x = 6 people so we have

update to

If there are 6 people, then the furthest they can travel is 15 miles. This is because y = 15 is the largest y value possible.

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Part C

6 passengers

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Explanation:

This is just part B, just in reverse. Plug y = 15 into the inequality, then isolate x. You should find that . There isnt much need to do much work here because part B effectively gives two pieces of information at once, so to speak.

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

mark brainliest

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.