RULE OF FOUR: Multiple Representations of Math
1 answer:
Answer:
Graph ⇒ see the attached figure
Create a table ⇒ see the attached figure
Expression/Equation ⇒ y = 8x
What is the slope? ⇒ 8
What is the y-intercept? ⇒ zero
Step-by-step explanation:
Given: Meat costs $8.00 per pound at a store.
Let the number of pounds = x, and the total cost = y
So, the equation which represents the given situation is ⇒ y = mx
Where m is the slope.
If x = 1 pound , the meat costs = y = $8
So, y = 8x
The table can created by let values for x and find the values of y.
The attached table represents the table and the graph of y = 8x
The slope = 8
y-intercept is the value of y when x = 0
so, the y-intercept = 0
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Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
Thus, 750 lollipops must be sold.