Word Problems with Given Equation

The drama club sold tickets (t) to a play for $5 each.  They also made $55 in soda and popcorn sales.  The equation to represent the total cost (C) is $$C=\text{5t+55}$$ . If the drama club made a total of $290, how many tickets (t) were sold?

The Roaming Cell Phone Company charges (C) $15.00 per month plus $0.20 per minute (m) of airtime usage. This can be represented by the equation $$C=0.20m+15$$ . If Juanita uses 300 minutes of airtime, what is her monthly cell phone bill (C)?

Trevon's Bikes rents bikes (B) for $18 plus $8 per hour (h). This can be represented by $$B=18+8h$$ . Jaidee wants to rent a bike for 7 hours. How much will she spend to rent the bike?

Scott created a scatter plot of the relationship between the number of students at a football game, x, and the amount of money raised selling snacks, y. The equation for his trend line was y = 5.2x - 20.

If 150 students showed up $​ (a)   would be made selling snacks.

Samantha has $35 in her savings account. At the end of each week (w), she will add $20 to the account.

This equation $$S=35+20w$$ describes the total amount S, in dollars, of Samantha's account. How much will she have after 7 weeks.

A holiday meal costs $12.50 a person (p) plus a delivery fee of $30.  The equation $$C=30+12.5p$$ represents the amount a holiday meal costs (C). If you paid $180 for your holiday meal, how many people dined?

Samantha sells two types of wristbands, rope or beaded.

She charges MORE for BEADED wristbands than for rope wristbands.

The amount of money, in dollars, that she collects from selling X wristbands of one type

and Y wristbands of the other type can be modeled by the expression $$5x+8y$$ .

What does each of the following expressions represent in this situation?

Basic monthly charge for cell phone service is $35, which includes 250 free minutes. A fee for each extra minute (m) is $0.30. Use $$C=35+0.3m$$ to represent the cost (C). Find your total bill if you use 305 minutes.    

Leah would like to earn (E) at least $100 per week. She babysits (b) for $5 per hour and works at an ice cream shop (c) for $8 per hour. Leah works 10 hours at the ice cream shop. How many hours does she need to babysit? Use $$E=5b+8c$$

A researcher gathered data to predict the number of new types of plants (y) that will be in a state park after x years.  After making a scatter plot of the data, she determined the equation of a line of best fit to be $$y=0.25x+8$$ . Based on the equation, what is the number of new types of plants that will be in the park after 24 years?