Yes, any number that doesn't repeat for along time, such as 2/3, 1/3, etc, would be considered rational, its those numbers that don't end that are irrational, meaning 0.59 is rational.
Q1. The answer is 612.50
The function is C(p) = 175 + 3.5p
p - the number of pots
If we need to produce 125 pots, then p = 125
C(p) is then C(125). So calculate C(125)
C(125) = 175 + 3.5 * 125 = 175 + 437.5 = 612.5
So, the production of 125 pots costs $612.5.
Q2. The answer is 78.
The function is C(p) = 175 + 3.5p
C(p) is the cost of producing a p number of pots.
If our budget is $450, then C(p) = 450. So, we need to calculate p.
C(p) = 450
C(p) = 175 + 3.5p
450 = 175 + 3.5p
3.5p = 450 - 175
3.5p = 275
p = 275/3.5
p = 78.57
So, the number of pots that can be produced for $450 is 78.
We got 78.57 for p, but it must be rounded to the smallest rounded number because you cannot produce 0.57 of a pot.
210900 × 0.15 = 31635
210900 - 31635 = 179265
179265 is the mortgage loan
We know for our problem that Rachel makes $10 per hour. Since

represent the number of hours that she works,

will be the total amount that she will make for working

hours. We also know that she sells bracelets for $5 each. Since

represents the number of of bracelets that she sells,

will be her total revenue for selling

bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of

and

must be equal or greater than 200:

We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>