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Queston 12
The coffee shop lava Jive hasprices that increase linearly based on the size of the coffee, A 16 ounce coffee cosis 43.35 , and a 20 -0unce coffee cosis 43.75 . Let represent the cost, in dollars, of an in ounce coffee. White the equation representing this situation in point slope form. Then write the equation in slope intercept form. (Please use decimala instead of fractions in your answers.)
point-slope form
slope intercept forms
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Ask by Mathis Hall. in the United States
Jan 24,2025

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Answer

Point-Slope Form:
Slope-Intercept Form:

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To find the cost per ounce coffee in point-slope form, you should first determine the slope (m) of the price increase. With the two coffee sizes, you have the following points: (16, 43.35) and (20, 43.75). The slope m can be calculated as:
Now using point-slope form, which is , you can substitute one of the points, e.g., (16, 43.35):
Point-slope form:
To convert it to slope-intercept form , distribute and rearrange:
  1. Distribute:
  2. Add 43.35 to both sides:
Slope-intercept form:
Enjoy your coffee while crunching those numbers! After all, even numbers need a little caffeine boost sometimes!
For practical purposes, understanding this linear relationship allows coffee lovers to predict costs ahead of time. If you’re ever in doubt, just plug in the ounces you desire and voila! Your wallet will thank you for it!

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