- Tables, Graphs, Functions and Sequences
- Home
- Making a table and plotting points given a unit rate
- Graphing whole number functions
- Function tables with two-step rules
- Writing a function rule given a table of ordered pairs: One-step rules
- Graphing a line in quadrant 1
- Interpreting a line graph
- Finding outputs of a one-step function that models a real-world situation
- Finding outputs of a two-step function with decimals that models a real-world situation
- Writing and evaluating a function that models a real-world situation: Basic
- Graphing ordered pairs and writing an equation from a table of values in context
- Writing an equation and drawing its graph to model a real-world situation: Basic
- Identifying independent and dependent quantities from tables and graphs
- Finding the next terms of an arithmetic sequence with whole numbers
- Finding the next terms of a geometric sequence with whole numbers
- Finding patterns in shapes

# Finding outputs of a two-step function with decimals that models a real-world situation

In this lesson, we have two-step functions with decimals modeling real world problems. In such a case we find outputs of those functions.

The amount that Jane has is given by the function A(x) = 0.8x + 18, where x is her allowance in dollars. What is the amount she has if her allowance is $15?

### Solution

**Step 1:**

Amount with Jane, A(x) = 0.8x + $18; x = $15

**Step 2:**

A(x) = 0.8x + $18 = 0.8(15) + $18 = $12.0 + $18 = $30

So, A(x) = $30

The sum of three consecutive numbers is given by the function S(n) = 3n + 3 where n is the smallest number. If the smallest of the three numbers is 38 what is the sum of the three consecutive numbers?

### Solution

**Step 1:**

Sum of numbers, S(n) = 3n + 3; n = 38

**Step 2:**

S(n) = 3n + 3 = 3(38) + 3 = 114 + 3 = 117

So, S(38) = 117

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