Answer:
y= 6x-9
Step-by-step explanation:
1. First find the gradient between the two points. Gradient =6
2. Using the formula y= mx+c substitute the gradient into the equation. You'll get something like this: y= 6x+c
3. Substitute the point (4,15) into the equation. You'll get something like this: 15= 6(4) +c.
4. Calculate the value of c. You'll get - 9 as an answer to that.
5. Substitute the value of c into the original equation. Your final answer will be y= 6x-9
<span>Part A:</span>
y = 30x + 13
y is the total cost
30 is the price per mattress
x is the number of mattress(es)
13 is the service
y = 28x + 15
y is the total cost
28 is the price per mattress
x is the number of mattress(es)
15 is the service charge
For Part B - replace the x's with 4 so for Company A
y = 30(4) + 13
30 * 4 = 120 + 13 = 133
Replace the x's with 4 so for Company B
y = 28(4) + 15
28 * 4 = 112 + 15 = 127
Company B charges less for the cleaning of 4 mattresses
Same thing for <span>Part C</span>, plug 7 into the x's
y = 30(7) + 13
30 x 7 = 210 + 13 = 223
y = 28(7) + 15
28 * 7 = 196 + 15 = 211
Since you are trying to find money saved from using the services of Company B to Company A, subtract total cost of 7 mattresses from Company A to Company B
233 - 211 = 22
<span>TLDR:</span>
Part A:
Company A: y = 30x + 13
Company B: y = 28x + 15
y = total cost
30 and 28 = price per mattress(es)
x = how many mattresses
13 and 15 = service charges
Part B:
Company A: y = 30(4) + 13 = 30 * 4 = 120 + 13 = 133
Company B: y = 28(4) + 15 = 28 * 4 = 112 + 15 = 127
Company B costs less for 4 mattresses
Plug 4 into x since you are trying to find the price of 4 mattresses
<span>Part C:
</span>Company A: y = 30(7) + 13 = 30 x 7 = 210 + 13 = 223
Company B: y = 28(7) + 15 = 28 * 7 = 196 + 15 = 211
233 - 211 = 22
Plug 7 into the x's because you're trying to find the price of 7 mattresses
Subtract Company B from Company A to find the cost of savings
In an arithmetic sequence, the nth term is the first term + (n-1)* difference
the fifth term=the second term +(5-2)*difference
22=10+3d
d=4
the first term=the second term-the difference=10-4=6
the nth term =6+4(n-1) or or 10+4(n-2),
328 is the answer to your mathematics question young one.
The ground temperature started at 10 degrees.
The rate was: for every 1000 meters (m) of going above the ground, the temperature dropped 5 degrees, meaning that it got cooler.
The ratio is 1000 meters to 5 degrees
So that would mean: 10-5-5-5-5-5=-15 degrees
