Answer:
The answer is -80
Step-by-step explanation:
The average rate of change is also the slope from the endpoints. The two points are (0,500) to (5, 100). To find the average rate of change between those points, use the formula: change of y over the change of x.
The answer is:
The correct option is the third option;
To find which of the options expresses the intersection of the three days as an inequality in terms of temperature "t" we need to find an inequality which starts at the lowest temperature (greater or equal) and finish at the highest temperature (less or equal).
So, we have that the lowest temperature is -23°F and the highest temperature is 50°F, there are two options for that range, but we need to consider that the temperature will range from -23° to 50°, so, the correct option is the third option;
We can see that the inequality express that the temperature will range from -23°F being greater or equal than that, to 50°F being less or equal than that.
Have a nice day!
At the movie theater , the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50. The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75. How much is a fountain drink? How much is a bag of popcorn ?
<h3><u>Answer:</u></h3>Cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5
<h3><u>Solution:</u></h3>Let "f" be the price of 1 fountain drink
Let "p" be the price of 1 bag of popcorn
Given that Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50
4 x price of 1 fountain drink + 3 x price of 1 bag of popcorn = 22.50
4f + 3p = 22.5 -------- eqn 1
Also given that Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75
5 x price of 1 fountain drink + 2 x price of 1 bag of popcorn = 23.75
5f + 2p = 23.75 -----------------eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Multiply eqn 1 by 2
2(4f + 3p = 22.5)
8f + 6p = 45 -------- eqn 3
Multiply eqn 2 by 3
3(5f + 2p = 23.75)
15f + 6p = 71.25 --------- eqn 4
<em><u>Subtract eqn 3 from eqn 4</u></em>
15f + 6p = 71.25
8f + 6p = 45
( - ) -------------------
7f = 26.25
f = 3.75
<em><u>Substitute f = 3.75 in eqn 1</u></em>
4(3.75) + 3p = 22.5
15 + 3p = 22.5
3p = 22.5 - 15
3p = 7.5
p = 2.5
Thus cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5
