EOC Fast Facts 3

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time. It can be modeled by the equation y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time. It can be modeled by the equation y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Front

What does the initial value represent in an exponential function?

Back

The initial value in an exponential function represents the starting amount before any growth or decay occurs. It is the value of 'y' when 'x' is 0.

Front

How do you identify exponential growth from an equation?

Back

Exponential growth can be identified in an equation by a base greater than 1 in the form y = a(b)^x, where 'b' > 1.

Front

How do you identify exponential decay from an equation?

Back

Exponential decay can be identified in an equation by a base between 0 and 1 in the form y = a(b)^x, where 0 < b < 1.

Front

What is the formula for calculating the correlation coefficient (r)?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. It is calculated using the formula: r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)], where n is the number of pairs.

Front

What is the first step in solving the equation 10 + 7m = 17?

Back

The first step is to subtract 10 from both sides of the equation.

Front

What is the second step in solving the equation 10 + 7m = 17?

Back

The second step is to divide by 7 to isolate 'm'.

Front

What does a correlation coefficient of r = 0.89 indicate?

Back

A correlation coefficient of r = 0.89 indicates a strong positive linear relationship between the two variables.

Front

What does a correlation coefficient of r = -0.89 indicate?

Back

A correlation coefficient of r = -0.89 indicates a strong negative linear relationship between the two variables.