Unit 4 4-2 Writing Equations in standard Form & Applications · Example 1: A plane loses altitude...
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Name ___________________________________________ A1 Warm Up: Write the equation of the line given each set of information. All final answers should be in slope-intercept form. a) Slope: 1 3 , y-intercept: 4 b) Goes through (7, 10) and (−5, 10) c) Goes through (−4,11) and (−8, −1) d) Slope: undefined, goes through (2, 3) e) Slope: − 1 2 , goes through (−6, 1) Unit 4 4-2 Writing Equations in standard Form & Applications
Transcript of Unit 4 4-2 Writing Equations in standard Form & Applications · Example 1: A plane loses altitude...
Name ___________________________________________ A1 Warm Up: Write the equation of the line given each set of information. All final answers should be in slope-intercept form.
a) Slope: 1
3, y-intercept: 4 b) Goes through (7, 10) and (−5, 10) c) Goes through (−4,11) and (−8,−1)
d) Slope: undefined, goes through (2, 3) e) Slope: −1
2, goes through (−6, 1)
Unit 4
4-2 Writing Equations in
standard Form &
Applications
We know two forms currently. We need to add one more form in order to complete todays notes.
Slope-Intercept Form: When should we use slope-intercept form?
Point-Slope Form: When should we use point-slope form?
Standard Form: When should we use standard form?
Word problems can be very intimidating. The best remedy I’ve found is identifying all the numbers you’re given, and what they represent (Slope? Data point? Y-intercept?). Sometimes we will have a slope and a y-intercept hidden in the problem. Other times, we will have two data points hidden in the problem. We may even be given a slope and a single data point. The information we’re given determines how we write the equation.
Example 1: A plane loses altitude at the rate of 5 meters per second. It begins with an altitude of 8500 meters. The plane’s altitude is a function of the number of seconds that pass. Write an equation modeling this situation. List what we know:
Example 2: The cost of general admission and discounted student tickets for a high school football game are $7 and $4, respectively. The ticket sales for one game totaled $11,200. Write an equation modeling this situation. List what we know:
Example 3: Your gym membership costs $33 per month after an initial membership fee. You paid a total of $228 after 6 months. Write an equation that gives you the total cost related to the months of your gym membership. List what we know: Find the total cost after 9 months.
Example 4: All tickets for a concert are the same price. The ticket agency adds a fixed fee to every order. A person who orders 5 tickets pays $93. A person who orders 3 tickets pays $57. Write an equation relating the total cost to the number of tickets purchased. List what we know:
Example 5: A group of 48 people is traveling to a nature preserve in small and large vans. A small van holds 8 people and a large can holds 12 people. Write an equation that models the number of small and large vans that the group could use. List what we know:
