Complete Guide Linear Functions
A linear function describes a relationship with a constant rate of change. It is typically written as f(x) = mx + b
, where m
is the rate of change (slope) and b
is the initial value (y-intercept). On the SAT, you'll be asked to use these functions to find an output value for a given input.
1. Evaluate a Linear Function: Word Problems
This skill involves plugging a given number into the function to find the result. It's a straightforward but critical process.
Example: Car Rental Cost
The total cost, C
, in dollars, to rent a car for d
days is given by the function C(d) = 40d + 25
. What is the total cost to rent the car for 5 days?
Calculate
C(
)
Ready for a Challenge?
Test your function evaluation skills to get ready for the SAT.