Write a real-life situation that can be modeled by the expression 1/4 x 2/3.
Answer: Choice B
They traveled 250 miles in 4 hours. Their speed was 62.5 mph.
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Explanation:
Start at point X. Draw a horizontal line straight across until you reach the y axis. You should arrive at y = 250. This tells us that they traveled 250 miles.
Go back to point X. Draw a vertical line until you reach the x axis. You should reach x = 4. This indicates 4 hours.
Pairing up the two values together means they traveled 250 miles in 4 hours. Divide the distance over time to get the speed
speed = distance/time = 250/4 = 62.5 miles per hour
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Side note: unfortunately your teacher chose the label uppercase X for the point, which may be a bit confusing since it could clash with the lowercase x along the horizontal axis.
Another note: the speed represents the slope of the line
Answer:
6-5
Step-by-step explanation:
Based on the problem statement you can write two equations for the cost of tables (t) and chairs (c).
.. 6c +2t = 20
.. 3c +5t = 35
You can solve these by your favorite method to find the costs are
.. chairs cost $1.25
.. tables cost $6.25
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My favorite method is to use the graphing calculator at Desmos [dot] com. Many graphing calculators will solve equations like these either directly, graphically, or indirectly using matrix functions. If you want to solve them by "elimination," you can double the second equation and subtract the first to get
.. 8t = 50