Mr. williams physical education class lasts 7/8 hour. Instructions are 1/5 of that time, how many minutes are NOT spent on instr
1 answer:
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Answer:
y =
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points and (3, -1)
For the point ,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=
From equation (2)
-1 =
-1 =
a = 8
Therefore, equation of the exponential function will be,
y =
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.