Flashback #34 (SOL 8.16e Writing Equations from Words)

It's important to remember that when writing an equation for a word problem involving slope - intercept form to remember this:

Slope happens over and over... y-intercept happens only once!

So... slope happens ​​ (a)  

Y-intercept happens ​ (b)  

• only once
• over and over

Match the following to the correct definition.

• Slope

• Only happens once

• Slope-Intercept Form

• Repeats every time

• y-intercept

33) Malinda drains her 900 gallon swimming pool at a rate of 50 gallons of water per hour. Which linear equation represents this situation?

• y = -850x + 50

• y = -50x + 900

• y = -900x + 50

• y = -950x + 50

34) Jeremy is in a bike race against a professional bicyclist. He is given a 3 mile head start and he rides his bike at a constant rate of 15 miles per hour. Which linear equation represents Jeremy's situation?

• y = 15x + 3

• y = 3x + 15

• y = 12x

• y = 18x + 15

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Create the equation that would represent this equation using slope-intercept form.

Mathematical Equivalence

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