- 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

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Writing an equation and drawing its graph to model a real-world situation: Basic

In this lesson, we solve real world problems which are modeled by an equation. The equation describing the problem is written and its graph is plotted.

Jenny has savings of $42 and earns $7 for each hour of lawn mowing. If y is the total amount with Jenny and x is the number of hours he works, write and equation in y and x and graph it.

### Solution

**Step 1:**

The equation representing the problem in x and y is

y = 42 + 7x

**Step 2:**

The plot is

Phil's party costs $110 plus $7 for every guest he invites. Let y be the total cost of party and x be the number of guests. Write an equation in x and y and graph it.

### Solution

**Step 1:**

The equation representing the problem in x and y is y =110 + 7x

**Step 2:**

The plot is

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