Slope-Intercept Form
An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. Write an equation to model the situation.
y = 30,000 - 2,000x
Marty is spending money at the average rate $3 per day. After 14 days he has $38 left. Write an equation to model the situation.
y - 38 = -3 (x - 14)
T-shirts at a flea market cost $4.50 each and shorts cost $6 each. You have $108. Write an equation to model the situation.
4.50x + 6y = 108
Nick is given $50 to spend on vacation. He decides to spend $5 a day. Write an equation to model the situation.
y = 50 - 5x
While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip.Write an equation to model the situation. Let y represent the cost and x represent the number of miles.
y - 25.50 = 1.50(x - 15)
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day $5050 is collected. Write an equation to model the situation.
1.50x + 4.00y = 5050
You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile. Write an equation to model the situation for cost, y, and number of miles, x.
y = 3.00 + 0.75x
An internet service provider charges $18 per month plus an initial set-up fee. One customer paid a total of $81 after 2 months of service. Write an equation to model the situation. Let y represent the total cost and x represent the number of months.
y - 81 = 18(x - 2)
A landscaping company sells 13 bushes and 4 trees for $616. Write an equation to model the situation.
13x + 4y = 616
A plumber charges $50 to make a house call. He also charges $25.00 per hour for labor. Write an equation to model the situation for the amount charged, y, based on number of hours, x.
y = 50 + 25x
Your gym membership costs $33 per month after an initial membership fee. You paid a total of $228 after 6 months. Write an equation to model the situation. Let y represent the total cost and let x represent the number of months.
y - 228 = 33(x - 6)
Students rented buses and vans to go attend the Southwood Staff/Student Hockey Game.There were 8 vans and 12 buses for the 360 students. Write an equation to model the situation.
8x + 12y = 360