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Math MSA Determine a point from an Equation

The document provides instructions for finding the unit rate of relationships between two quantities and writing equations to represent those relationships. It gives examples of finding the unit rate for costs of t-shirts, video games rentals, and sugar in glasses of soda. It then explains that to find a point on a line represented by an equation, you substitute a value for the variable and solve for the other variable. Examples are given of determining the point for equations relating hats and costs, distance and time, temperature and hours, and barbie doll height and years.

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How to find the unit rate and write an equation relating the two quantities To find unit rate, you DIVIDE the two quantities $24 for 3 t-shirts = $8/1 shirt = $8 per shirt To write the equation, use variables y and x The rate is the COEFFICIENT y = 8x
Find the unit rate of each, then write an equation relating the two quantities 50 dollars for 100 t-shirts 8 dollars to rent 14 video games 24 tablespoons of sugar in 3 glasses of Mountain Dew
50 dollars for 100 t-shirts 50/150 = 0.50 Y = 0.5x 8 dollars to rent 14 video games 8/14 = .57 Y = 0.57x 24 tablespoons of sugar in 3 glasses of Mountain Dew 24/3 Y = 8x
Finding Points using the Equation To find points from an equation, substitute any number into the equation and the answer is the other number of the point Ex. Y = 5x If I plug in 7, I get 35 SO (7, 35) is a point on the line
WHAT IS THE POINT? Coordinates of a point on the graph of each equation Determine a point on the line and explain what it means C = 8n C is the cost in dollars for n hats Answer: (3, 24) 3 hats cost $24
What is the point? D = 5t + 25 D is the distance in miles in t hours Answer: (2, 35) In 2 hours, the distance is 35 miles
What is the point? T = -5h + 30 T is the temperature for h hours Answer: (4, 10) After 4 hours, the temp is 10 °
What is the point? B = 8 B is the height of a Barbie doll in t years Answer: The barbie will never change height