Answer:
Step-by-step explanation:
Given:
'w' represents inches of water left after 't' minutes of time.
The dripping out of water is a linear function.
At time 't' equal to 0, the bucket was empty.
After 14 minutes, there are 7 inches of water in the bucket.
A linear function model is of the form: 
Now, at 
At 
Therefore, plugging these values in the above linear model and solving the system of linear equations. This gives,
Therefore, the values of 'm' and 'b' are 0.5 and 0 respectively.
Thus, the linear model is given as:
Answer:
<h2>
</h2>
Step-by-step explanation:
-5(m - 3) + 6 = 2(m - 5)
<u>Expand the terms in the bracket</u>
That's
- 5m + 15 + 6 = 2m - 10
- 5m + 21 = 2m - 10
<u>Subtract 2m from both sides</u>
- 5m - 2m + 21 = 2m - 2m - 10
- 7m + 21 = - 10
<u>Subtract 21 from both sides</u>
That's
- 7m + 21 - 21 = - 10 - 31
- 7m = - 31
<u>Divide both sides by - 7</u>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
343
Step-by-step explanation:
If this were to be graphed, the independent variable would be the price of the ticket for the rides. The dependent variable would be the total cost.
The fair admission is not a variable because it is a constant price for every single person who goes into the fair.
The problem asks to use y to represent the total cost and x to represent the number of ride tickets. In order to fully write out the equation, we have to figure out what the fair admission costs.
43.75 = 1.25(25) + b
*b represents the fair admission
Multiply 1.25 by 25
43.75 = 31.25 + b
Subtract 31.25 to find what b costs.
12.50 = b
The fair admission costs $12.50.
Solution: y = 1.25x + 12.50
