A family went to a baseball game. They parked the car in a parking lot which charged $5. The cost per ticket was $21. Write an equation for the total cost of going to the baseball game, where y is the total cost and x is the total number of people. Complete the equation. y=

y = 21x + 5

Step-by-step explanation

The cost for the parking spot does not change, while the cost per ticket can (depending on how many people there are).

Step-by-step explanation:

y = 21x + 5

we don't know how many people there are in this family. but I assume they still fit into one car, so that they had to pay the parking fee only once.

each ticket to the game costs $21, which is why we have to multiply 21 by the number of people. and then we have a flat fee of $5 for the parking.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}