Question

An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.

A) 10x = 32 - 6x ; x = 2
B) 10x = 32 + 6x ; x = 4
C) 10x = 32 + 6x ; x = -3
D) 10x = 32 + 6x ; x = 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

B) 10x = 32 + 6x ; x = 4

After 4 visits, the cost of the two plans would be equal.

Answer 2

At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let x be the number of days passed before the two songs have the same number of listens.

The number of listens for the first song will be 700 + 52x.
The number of listens for the second song will be 600 + 56x.

700 + 52x = 600 + 56x
52x - 56x = 600 - 700
-4x = -100
x = 25

After 25 days, the two songs will have the same number of listens.

Answer 4

Which of the following equations has exactly one solution?

A) -3x + 8 = -3x - 8
B) -8x + 3 = -8x + 3
C) 3x - 8 = 3x + 8
D) -3x - 8 = 3x - 8

Answer 5

[AI-generated answer — Bot GPT 3.5]

B) -8x + 3 = -8x + 3

This equation has exactly one solution because the variable x appears on both sides of the equation in the same form, implying the expression -8x + 3 is identically the same on both sides.