This function P(t) describes the price of a particular model car that is $15,000. It rises with time at a constant rate of $800 per year.
What is P(t) = 15000 + 800t
100
This is the solution to the equation 5000 = -23x + 5299
What is 13 (or x = 13)
100
This is what the 4 represents in the function y=4x+7.
What is slope
100
This is the solution to the equation y = 3x + 17 when x = 12.
What is 53
100
This type of function models this statement: "The population of Winesburg is increasing at a rate of 3% per year."
What is exponential.
200
This function P(t) represents the population of a town with an initial population of 60,000 and a growth rate of 2.5% per year.
What is P(t) = 60000(1+0.025)^t
200
This is the solution to the equation 78.15 = 400(1 - 0.04)^x. (Round to two decimals)
What is 40 (or x = 40)
200
Your salary at a new job is modeled by the function S(t) = 35000(1+0.05)^t, where t is in years. This is what the 0.05 means in context of the problem.
What is a 5% increase in your salary every year
200
The population of a town is modeled by P(t) = 50000(1+0.075)^t, where t is in years since 1990. This is the population of the town in 2004. (Round to the nearest whole number)
What is 137622 people
200
Besides physically being a line, what is a main quality that a function needs to be considered linear.
What is the rate of change (slope) being constant
300
This model H(t) represents the elevation of a group of climbers that are ascending at a steady rate of 600 feet per hour. After 2 hours they have climbed 7700 feet.
What is H(t) = 600t + 6500
300
This is how long will it take for Emily to have $4000 in her account if her savings account is modeled by A = 1000(1.04)^t, where t is the number of years since the account was open. (Round to 2 decimal places)
What is 35.35 years
300
The diameter of a tree (in inches) with each passing year is modeled by the equation D(t) = 4 + 0.2t. This is what the 4 represents in context of the problem.
What is the initial diameter of the tree
300
The cost of publishing a poster is $2000 for setting up the printing equipment, plus $3 per poster printed. This is the total cost to produce 2000 posters.
What is $8000
300
This is how many students are in the classroom right now.
What is 20.
400
This model D(h) describes a certain drug the breaks down in the human body at a rate of 15% per hour. The initial amount of the drug in the blood stream is 8 milligrams.
What is D(h) = 8(1-0.15)^h
400
A radioactive substance of 200 grams decays at a rate of 5% per day. This is how long it will take to only have a fourth of the original amount. (Round to two decimal places)
What is 27.03 days
400
The model N(t) = 20(1 - 0.05)^t represents the number of plants still alive after Mary's friend started to look after them for t weeks. This is what the -0.05 represents in context with the problem. (be specific)
What is the rate at which Mary's plants are dying every week since her friend has started looking after them.
400
George has a hole in his bucket. He fills up the five gallon bucket, and he loses water at a rate of 8% per hour. This is how much water will be in the bucket after 5.5 hours. (Round to two decimal places)
What is 3.16 gallons
400
This is how we can tell this function has a decay rate: y = 400e^(-0.543x)
What is the exponent is negative
500
The function P(t) describes the population of Boom Town since the year 1920. In 1940, the population was 35,000. It grew to 220,000 in 1960.
What is P(t) = 9250t - 150000
500
A population of 200 deer is introduced to an area. The population is growing at a rate of 4.2% per year. This is how many years it will take for the population to double. (Round to 2 decimal places)
What is 16.85 years
500
This is the mathematical term for the R^2 - value found in Excel.
What is the coefficient of determination
500
The number of rabbits in an area grow at a rate of 47% per month. The original amount of rabbits in this area was 8. This is the number of rabbits that will be in the area after 1.2 years. (round to the nearest whole number)
What is 2053 rabbits
500
This is the rate/percentage of the function Q(t) = 45812e^(0.347 t). (Round to two decimal places)