Calculator Inactive Math 1 NC Check In #2 REVIEW 2025

Front

What is the formula to calculate the future population of a town with a current population of 4,000 and a growth rate of 3% per year?

Back

Front

What is the value of x in the system of equations: 5x + 4y = 1 and y = 1 - x?

Back

x = -3.

Front

If the sum of two positive integers is 26 and their difference is 4, what is their product?

Back

The product is 165.

Front

What is the reasonable domain for the function P(t) = 100(2)^t, which models the population of bacteria doubling every hour for one day?

Back

Front

What is the height of a ball kicked off the ground after t seconds, given by the formula h = 64t - 16t^2?

Back

The ball hits the ground when t = 4 seconds.

Front

Define exponential growth in the context of population. What does it imply?

Back

Exponential growth occurs when the growth rate of a population is proportional to its current size, leading to rapid increases over time.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

Front

What does the term 'domain' refer to in a mathematical function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the product of two numbers if their sum and difference are known?

Back

Front

What is the significance of the growth rate in population models?

Back

The growth rate determines how quickly a population increases or decreases over time, affecting future population size.