How do you make an equation, table, and graph from a description?

Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays

back $50 per month.

In this lesson you will learn how to create an equation, table, and graph by using a

contextual situation.

Let’s ReviewLet’s Review

Slope-intercept form:y = mx + b

Slope(rate of change)

Y-intercept(initial value)

Slope-intercept form:y = -1.5x + 2

Slope(rate of change)

Y-intercept(initial value)

Let’s ReviewA Common Mistake

An ice cream cup is $2.00 plus $0.50 for each additional topping.

Initial value = 0.50Incorrect!Initial value = 2.00It happens 1 time, with 0 toppings!

Let’s ReviewCore LessonJoan’s Aunt agrees to give Joan $500 to

buy a used car as long as Joan pays back $50 per month.

Slope “indicator”Slope = 50 Y-intercept = -500y = 50x - 500

Let’s ReviewCore Lesson

x (months)

y (remaining debt)

0 -500

Joan’s Aunt agrees to give Joan $500 to buy a used car as long as Joan pays

back $50 per month.

1 -4502 -4003 -350

-450 - -5001 - 0y-intercept

501

slope

Let’s ReviewCore LessonJoan’s Aunt agrees to give Joan $500 to

buy a used car as long as Joan pays back $50 per month.

slopescaley-intercept

In this lesson you have learned how to create an equation, table, and graph by using a

contextual situation.

Let’s ReviewGuided Practice

Linda begins the year with $200 in her bank account. Each month, she deposits $40. Create the equation, table, and graph.

Let’s ReviewExtension ActivitiesA parachutist is 500 feet above the ground. After she opens her parachute, she falls at a constant rate of 5 feet per second.

Create the equation, table, and graph for the scenario.

Let’s ReviewExtension Activities Drag the equation to match its table.

y = -4x - 3 y = -3 + 4xy = -3x - 4

x y -4 8-2 2-1 -12 -10

x y -4 -19-2 -11-1 -72 5

x y -4 13-2 5-1 12 -11

Let’s ReviewQuick QuizA restaurant charges $150 for a room and $10 per person for food and drinks. What is the correct table?

x y 1 $1503 $2006 $25010 $300

x y 1 $1603 $4606 $91010 $1510

x y 1 $1603 $2106 $27010 $350

x y 1 $1603 $1806 $21010 $250

Let’s ReviewQuick Quiz

A restaurant charges $150 for a room and $10 per person for food and drinks. What is the correct graph?