Linear Equation Worksheet With Answers (Page 6 of 8) in pdf

Linear Equation Worksheet With Answers Page 6

Word Problems in Point-Slope Form

When a word problem involves a constant rate or speed and gives a relationship at some point in time

between each variable, an equation can be written in point-slope form to model the relationship.

1. Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount

left depends on the number of days that have passed.

Identify the variables in this situation: x=

___# of

days_____

y= _money___________

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

y-intercept __110______

slope _-3____

a. Write an equation for the situation.

(y – 68) = -3(x – 14)

y = -3x + 110

b. Use your equation to find the amount of money he began with.

110

2. Suppose a 5-minute overseas call costs $5.91 and a 10-minute call costs $10.86. The cost of the call

and the length of the call are related.

Identify the variables in this situation: x= ___minutes______ y= __cost__________

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

y-intercept ___0.96_____

slope __0.99___

a. What is the cost y of a call of x minutes duration? (Assume this is a constant-increase situation)

(y – 5.91) = 0.99(x – 5)

y = 0.99x + 0.96

b. How long can you talk on the phone if you have $12 to spend?

11 minutes

Linear Equation Worksheet With Answers Page 6