GGG - Inv. 1 & 2 Review

Front

What is the initial population of the fruit flies if f(t) is the number of fruit flies after t days?

Back

The initial population is 100.

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of y when x = 0. For the given table, the y-intercept is 25.

Front

What does the growth factor represent in an exponential function?

Back

The growth factor indicates how much the quantity increases for each unit increase in the independent variable. For the graph, the growth factor is 3.

Front

What is the growth factor of the exponential function represented by y = 20(5^x)?

Back

The growth factor is 5.

Front

What is the y-intercept for the exponential function y = 20(5^x)?

Back

The y-intercept is (0,1).

Front

Define exponential growth.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the formula for exponential growth?

Back

The formula is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

How do you find the y-intercept from a function's equation?

Back

To find the y-intercept, substitute x = 0 into the function and solve for y.

Front

What is the significance of the growth factor in population studies?

Back

The growth factor helps predict future population sizes based on current data.

Front

What does a y-intercept of (0, 1) indicate in an exponential function?

Back

It indicates that when time (x) is 0, the population (y) starts at 1.