If you need to know the 7th, 8th, and 9th terms, the recursive form might be preferred as you need to apply the common difference successively to the next few terms. If you want to know terms, such as those beyond 100,
then the explicit would be preferred
Answer:
Company A: 
Company B: 
Step-by-step explanation:
The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.
Linear equation in slope-intercept form:

where m is the slope and b is the y-intercept.
Company A charges $50 up front and $40 per hour afterwards, so the equation would be:

Company B charges $25 up front and $50 per hour, so:

Answer:
10x+23 (pretty sure) and the * means multiply
Step-by-step explanation:

So, we will be using point-slope form to construct this equation.
Point-slope form's general formula is as follows:

M is the slope,
Y₁ is the Y-coordinate of the point
X₁ is the X- coordinate of the point.
So, our slope is 3 (since the equation is given in slope-intercept form)
Our Y₁ is 7 and out X₁ is 4
So, now we just plug our numbers into the equation.

There's your equation.
Hope this helps!
The answer is 14 and 46cm