Writing Equations 1
Write an equation that shows the cost, c, after h hours of service, for the following - A plumber charges $25 for a service call plus $50 per hour of service.
c = 50h + 25 ?
Write an equation that shows the total amount of money (t) that will be in the account after m months for the following - Javier has $2,500 in his bank account. Every month he withdraws $150. He does not add money to the account.
t = -150m + 2500
Your business of selling cakes has fixed startup costs, f, of $5,000 and variable costs of $7.25 per product item, p. Write an equation to model this scenario.
c = 7.25p + 5,000
A sail boat rental service charges a $50 flat fee and $25 dollars an hour to rent a boat. Find the cost of renting a sail boat for 6 hours.
$200
Rob collected 90 pounds of aluminum cans to recycle. He plans to collect an additional 33 pounds each week. If he lives up to his plan, what is the number of total pounds collected after 7 weeks?
321 pounds
Write the equation for the total pounds, p, of aluminum cans after w weeks, for the following - Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week.
p = 25w + 100 ?
Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. Write the equation that represents Mr. Thompson’s weight, w, after m months.
w = -4m + 260 ?
You start a business with a variable cost of $6.50 per item sold and a monthly budget of $790. Write the equation for the total monthly costs of the business. (Variable letters don't matter)
c = 6.5s + 790
A video rental store charges a $20 membership fee and $2.50 for each video rented. What is the total amount customer spent after renting 12 videos?
$50
Tom buys a new truck for his transport business for $120,000. For tax purposes, he declares a depreciation of $2500 per year. What is the value of the truck after 3 years?
$112,500
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation in slope-intercept form representing the cost, c, of renting a canoe for h hours.
c = 30h + 20
A water tank contains 105 gallons of water when Baxter begins to drain it. Water flows out of the tank at a rate of 8 gallons per minute. Write a linear equation in slope-intercept form that represents the volume of water, v, after m minutes.
v = -8m + 105
Jose inherited a bank account from his grandmother that had a balance of $2,300. He withdrew $320 per month to pay his car loan, but did not withdraw anything else, or deposit anything into this account. Identify a linear model (equation in slope-intercept form) for this situation. (variable letters don't matter)
b = -320m + 2300
Mr. Arnez is on a diet. He currently weighs 250 pounds. He loses 6 pounds per month. Find his weight after he has been on the diet 7 months.
208 pounds
An attorney charges a fixed fee of $200 for an initial meeting and $175 per hour for all hours worked after that. Find the total charge if the attorney provides 5 hours of work past the initial meeting.
$1075
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form representing the total c, of the attorney’s fee as a function of the hours, h, worked.
c = 150h + 250
Betsy budgeted $350 to buy school supplies for her classes this school year and due to the budget crisis problems she is spending $75 per month on school supplies. Write an equation in slope-intercept form representing the balance of her budget, b, as a function of the amount she is spending per month, m.
b = -75m + 350
A plumber charges $50 for a service call plus $30 per hour of service. What is the cost if it takes him 4 hours to fix your kitchen sink?
$170
A water tank contains 125 gallons of water when Pedro begins to drain it. Water flows out of the tank at a rate of 5 gallons per minute. How many minutes will it take for there to be 85 gallons of water left in the tank.
8 minutes
A cell phone plan costs $30 per month for unlimited calling plus $0.15 per text message. What is a customer's monthly cost if they sent 210 text messages?
$61.50
Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. Write a linear model representing the total cost (c) of her weekly expenses as a function of the number of dessert baskets, d, made.
c = 2.5d + 200
Tim buys a new computer for his office for $1200. For tax purposes, he declares a linear depreciation (loss of value) of $200 per year. Write a linear model representing the value, v, of his computer as a function of the amount it depreciates each year, y.
v = -200y + 1200
Brianna has a business making birthday gift baskets. She estimates that her monthly costs for rental of a small storage unit, and advertising, and electricity are $280. The cost of the ingredients for one basket, as well as the cost of the basket, total $16. What is the total costs this month if she sold 20 baskets?
$600
An airplane 30,000 feet above the ground is descending at a constant rate of 1550 feet per minute. How many minutes will it take for the plan to descend to an altitude of 16,050 feet.
9 minutes
Beth budgeted $750 to buy school supplies for her classes this school year out of her own money and due to the budget crisis problems she is spending $125 per month on school supplies. How may months will it take for her budget to reach $0?
6 months