Question

When Sam goes to a restaurant, he always tips the server $2 plus 10% of the cost of the meal. Tip = 2+0.10(cost of meal).

a) Linear function
b) Exponential function
c) Quadratic function
d) Logarithmic function

Answer 1

The function representing Sam's tipping habit, which is Tip = $2 + 0.10 × (cost of meal), is a linear function. It has a constant slope, and the tip amount increases in direct proportion to the cost of the meal.

Step-by-step explanation:

The question is asking which type of function represents Sam's tipping habit at a restaurant. Sam always tips $2 plus 10% of the cost of the meal, which can be represented by the equation Tip = $2 + 0.10 × (cost of meal). This is a linear function because it has the form y = mx + b, where m is the slope (in this case, 0.10) and b is the y-intercept (in this case, $2).

This means that the tip increases at a constant rate as the cost of the meal increases, which is characteristic of linear functions.