105 =4x
—— —- x=26.25
4. = 4
Answer: y = 2x + 12
Explanation: The slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. Substituting 2 for m, 6 for x, and 24 for y, we have 24 = 2(6) + b. Simplifying, we get that b = 12, so the equation is y = 2x + 12.
The number of units produced by the worker during t hours of work can be modelled by the following function:

To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.

Thus the worker will produce 67 units during the first 3 hours of the work.
Answer:
\\x= P/(c -d)[/tex],
Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge of additional $d for every minute.
Step-by-step explanation
Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge of additional $d for every minute.
Thus, the monthly cost of a customer who consumes x minutes in each plan is:
For the first plan: 
and for the second plan: 
Considering that the monthly costs must be the same in each plan, you have to:
![cx = P + dx\\ transposing terms\\cx - dx = P\\ applying common factor\\(c -d)x = P\\ dividing by [tex]c - d](https://tex.z-dn.net/?f=cx%20%3D%20P%20%2B%20dx%5C%5C%20transposing%20terms%3C%2Fp%3E%3Cp%3E%5C%5Ccx%20-%20dx%20%3D%20P%5C%5C%20%20%20applying%20common%20factor%3C%2Fp%3E%3Cp%3E%5C%5C%28c%20-d%29x%20%3D%20P%5C%5C%20dividing%20by%20%5Btex%5Dc%20-%20d)
\\x= P/(c -d)[/tex].
For example if
, Then the number of minutes would be,
and the total cost for each plan would be 