Linear Equation Worksheet With Answers (Page 5 of 8) in pdf

Linear Equation Worksheet With Answers Page 5

Writing Linear Equations from a Context

Word problems in Slope-intercept form

When a word problem involves a constant rate or speed and a beginning amount, it can be written in



 . To do this, recognize which number will represent m, the rate, and

slope-intercept form: y mx b

which number will represent b, the y-intercept.

1. An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute.

Assume the plane continues at the same rate of descent. The plane’s height and minutes above the

ground are related to each other.

Identify the variables in this situation: x= _minutes______

_height above

ground__

What is the given information in this problem (find all that apply)?

y-intercept __30,000_ slope

_-2000

a. Write an equation to model the situation.

y = -2000x + 30,000

b. Use your equation to find the altitude of the plane after 5 minutes.

20,000 feet

2. Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then

each week thereafter, you add $5 to the account but no interest is earned. The amount in the account

is a function of the number of weeks that have passed.

Identify the variables in this situation: x= __weeks_________ y=

__money in

account___

What is the given information in this problem (find all that apply)?

y-intercept __100__ slope _5____

a. Find an equation for the amount y you have after x weeks.

y = 5x + 100

b. Use your equation to find when you will have $310 in the account.

42 weeks

Linear Equation Worksheet With Answers Page 5