Question

Andrea is designing the seating arrangement for a concert in her local park. To give everyone a good view, each row must have 4 more seats than the row before it, and the 1st row can only have 10 seats. Explain to Andrea how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 20.

Answer 1

@Hero

Answer 2

@darkknight

Answer 3

@silvernight269

Answer 4

So we can set this up as a linear function. Where 4 is our slope (because it moves up 4, every row), and we also know that the first row has 10. So we can have a coordinate point as (1,10).
So do you know point-slope form?

Answer 5

Point-slope form is in this form:
Where x1 and y1 are the coordinate points of a point on the line.
\[y-(Ycoor) = m(x-(Xcoor))\]

Answer 6

i think i figured it out

Answer 7

So we can plug in a few points. Such as 1 for the Xcoor, 10 for the Ycoor. And 4 for m.
\[y-10=4(x-1)\]
And then make it a slope-intercept form

Answer 8

can you confirm if my answer is correct?

Answer 9

Then you plug in 20 for x.

Answer 10

What did you get?

Answer 11

i used s+4(n-1)
where s is the number of seats in the first row.
n is the row #

Answer 12

so 10+4(20-1)
i got 86 as the answer

Answer 13

A different way to do it. But correct nevertheless! Good Job

Answer 14

THANKS

Answer 15

i have another one like that

Answer 16

Sure, new post though. Close this one.

Answer 17

ok