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Can someone pls help me with my homework I have to go to sleep so pls be fast

Can Someone Pls Help Me With My Homework I Have To Go To Sleep So Pls Be Fast class=

Sagot :

Okay, here we have this:

Let's calculate the slope (using the points: (2, 58.5) and (4, 107.5)):

m=(107.5-58.5)/(4-2)=49/2=24.5

Finally we obtain that the slope is 24.5, so this means that option III is incorrect.

And considering that the y intercept represents the value of y when x equals 0 (0 tickets sold), If a person does not buy any ticket, they should not pay anything, this means that the option IV isn't right.

So, finally we are only left with option I and II let's check them:

Replacing in function:

Total value = (number of tickets * cost per ticket) + service charge

2 Tickets:

58.5=(2*24.5)+9.5

58.5=49+9.5

58.5=58.5

4 Tickets:

107.5=(4*24.5)+9.5

107.5=98+9.5

107.5=107.5

8 Tickets:

205.5=(8*24.5)+9.5

205.5=196+9.5

205.5=205.5

12 Tickets:

303.5=(12*24.5)+9.5

303.5=294+9.5

303.5=303.5

20 Tickets:

499.5=(20*24.5)+9.5

499.5=490+9.5

499.5=499.5

Finally we obtain that the correct answer is the option A. Statements I and III.