Niki earns a weekly income I (in dollars) given by I=415+17.5 h, where h is the number of overti

step 1 In this problem, we know two things. We know the equation for I, which is Nikki's weekly income

Niki earns a weekly income I (in dollars) given by...

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Key Concepts

Linear Functions

Linear functions are mathematical models that describe relationships between two quantities where the rate of change is constant. They are typically expressed in the form y = mx + b, where m represents the slope, which is the constant rate of change, and b is the y-intercept, the value of the function when x is zero. This concept is fundamental in algebra and real-world applications involving constant increases or decreases.

Substitution Method

The substitution method involves replacing a variable in an equation with a given number in order to evaluate the function. This method is crucial for determining the output of a function when specific input values are known, and it is often employed in solving word problems related to income, distance, and other linear relationships.

Arithmetic Operations

Arithmetic operations, including multiplication and addition, are the basic calculations used to manipulate numbers within an algebraic expression. In the context of evaluating a linear function, these operations are applied after substitution to combine the constant term with the product of the coefficient and the variable, resulting in the final computed value.

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