Homework 2.5

WRITE AN EQUATION TO REPRESENT THE SITUATION

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.

• 400 - 75x = 1,000 + 25x

• 400 + 75x = 1,000 – 25x

• 400x - 75 = 1,000x + 25

• 400x + 75 = 1,000x – 25

WRITE AN EQUATION TO REPRESENT THE SITUATION

Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.

• 2 + 7.50x = 8 + 6x

• 2 - 7.50x = 8 - 6x

• 2x + 7.50 = 8x + 6

• 2x - 7.50x = 8 x- 6

WRITE AN EQUATION TO REPRESENT THE SITUATION

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week.

• 155x - 10 = 230x + 15

• 155x + 10 = 230x – 15

• 155 - 10x = 230 + 15x

• 155 + 10x = 230 – 15x

WRITE AN EQUATION TO REPRESENT THE SITUATION

Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus.

• 2.50 + x = 15x

• 2.50x = 15x + 1

• 2.50x = 15 + x

• 2.50x = 15x

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Solve for x:

4(1 - x) + 3x = -2(x + 1)

• x = -6

• x = 6

• infinitely many solutions

• no solution

Solve: 14y + 5 = 8y - 1

• y = 1

• y = -1

• y = $\frac{2}{3}$

• y = - $\frac{2}{3}$

Solve: 4k + 39 = 7k + 6

• k = 11

• k = 3

• k = -3

• k = -11

Solve: 46 - 8p = 19 + p

• p = -3

• p = 7

• p = 3

• p = 9

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same. (Use an equation to help solve the problem)

• 3 hours

• 4 hours

• 1 hour

• 2 hours