SAT II Math I : Solving Functions from Word Problems

Study concepts, example questions & explanations for SAT II Math I

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 :Solving Functions From Word Problems

At Joe's pizzeria a pizza costs $5 with the first topping, and then an additional 75 cents for each additional topping.

Ifrepresents the number of toppings on a pizza, what function represents the cost of a pizza with at least one topping?

Possible Answers:

Correct answer:

Explanation:

Notice that the question describes a linear equation because there is a constant rate of change (the cost per topping). This means we can use slope intercept form to describe the scenario.

Recall that slope intercept form is

The value ofis the-value when. In this casemeans there are zero additional toppings and the question tells us that this pizza costs $5 so:

is the slope, or rate of change asincreases. In this case each additional topping costscents. Notice that the units have shifted from dollars to cents so we must write this as

Notice that the first topping is included in the $5 cost. Thecent charge only applies to additional toppings. So one less than the number of toppings is equivalent to:

把所有这些步骤我们得到:

Learning Tools by Varsity Tutors