NC M1 Class Review

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the formula to convert USD to pesos if the exchange rate is 13 pesos per dollar?

Back

The formula is: Amount in pesos = 13 * Amount in USD.

Front

If a bank charges a service fee for currency exchange, how does it affect the total amount received?

Back

The total amount received in the foreign currency is the amount exchanged minus the service fee.

Front

What does the function f(x) = 1.5x + 7 represent in the context of a baby's weight?

Back

This function models the weight of a baby in pounds based on their age in months.

Front

How do you calculate the weight of a baby at age 1 year using the function f(x) = 1.5x + 7?

Back

Substitute x = 12 (months) into the function: f(12) = 1.5(12) + 7 = 25 pounds.

Front

What is the total cost of leasing a car for 32 months at $450 per month with a $1,500 down payment?

Back

Total cost = $1,500 + ($450 * 32) = $15,900.

Front

What is the equation for the total cost of leasing a car based on the number of months?

Back

The equation is y = 450x + 1500, where y is the total cost and x is the number of months.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x = 0, representing the starting point of the function.