A meteorologist monitors the steady snowfall for a report on the news. After 2 hours, there are 10 inches of snow on the ground. There are 12 inches of snow 2 hours later. Write a linear function rule for y, the depth of the snow on the ground, after any number of hours x. If the meteorologist started measuring the snow at noon, how deep will the snow be when the news airs at 6 P.M?
Answers
Answer:
14 inches
Step-by-step explanation:
x = number of hours
y = depth of the snow on the ground
Formula:
y = ax + b
Informations: when the monitors started, there are a quantity of inches on the ground. 2 hours later, there are 10 inches. Then:
10 = 2a + b
2 hours later, there are 12 inches:
4a + b = 12
a and b, in both equations, are the same value. Then:
{2a + b = 10
{4a + b = 12
{- 2a - b = - 10
{4a + b = 12
---------------------
2a = 2
a = 1
2a + b = 10
2.1 + b = 10
2 + b = 10
b = 10 - 2
b = 8
Then, the linear function rule is:
y = x + 8
At noon, x = 0.
At 6 P.M, x = 6
Changing x for 6 in linear function rule:
y = 6 + 8
y = 14
I hope I've helped you.
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Answers
you can use point slope or slope intercept to find this one. i did it by using slope intercept, y=mx+b
b in this case is 0, and then to find m you use (y-y)/(x-x) or (-5-0)/(1-0) = -5
Answers
Answers
Answer:
1. 12 bags for total cost of 119.88
2. Yes. You'll make $180.12 for your labor.
3. Other tools, transportation, weather delay etc.
4. $28.02
5. Yes
Step-by-step explanation:
Begin by finding the area of the field. The field is a rectangle and measures 360 by 160. The area is A = l*w = 360*160 = 57,600 square feet. One bag of fertilizer will cover 5000 square feet. Divide 57,600 by 5000 to find the number of bags needed. You'll need 11.52 bags or rounded 12 bags.
Since each bag costs $9.99, multiply 12 by $9.99 to get the total cost for the fertilizer. The cost is $119.88. If the athletic department pays you $300. You'll make 300 - 119.88 = 180.12 for your labor. This is a good profit.
If you have to purchase another tool for $40, then the cost increases to 159.88. This decreases your profit to 180.12 - 40 = 140.12. Divide your profit 140.12 by the 5 hours you work to find how much you earn per hour. You earn $28.02 per hour.
Yes, I would take the job, since $28.02 is well above minimum wage.
Line 1
x y
–4 5
0 2
Line 2
x y
0 5
4 2
A.
0
B.
exactly 1
C.
exactly 2
D.
infinitely many
Answers
y=mx+b
m=slope
b=y intercept
line 1=
(-4,5)
(0,2)
(x,y)
slope=(y1-y2)/(x1-x2)
x1=-4
y1=5
x2=0
y2=2
subsitute
(5-2)/(-4-0)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
subsitute one of the points
(0,2)
x=0 and y=2 is one solution
2=-3/4(0)+b
2=0+b
2=b
the equation is y=-3/4x+2
other line
(0,5)
(4,2)
x1=0
y1=5
x2=4
y2=2
sybsitute
(5-2)/(0-4)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
now subsitute one of the points to solve for b
(0,5)
x=0 and y=5 is one solution
5=-3/4(0)+b
5=0+b
5=b
y=-3/4x+5
so we have the lines/equations
y=-3/4x+2 and y=-3/4x+5
(at this point we can see that since slopes are the same and the y intercepts are different, they are paralell and therefor have 0 solutions, but for those who don't know paralellline thingie read on)
solve for common (x,y)
y=-3/4x+2
y=-3/4x+5
subsitute
-3/4x+2=y=-3/4x+5
-3/4x+2=-3/4x+5
subtract 2 from both sides
-3/4x=-3/4x+5
add 3/4x to both sides
0=5
fasle
there are no solutions
the answer is A: 0 solutions
Answer:
i just want the point because i dont have any go sit on a
Step-by-step explanation:
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Answers
Final answer:
To find out how much Candace had in savings before purchasing the laptop, we will use the equation: Savings before purchase = Total savings + Amount spent on laptop. Candace had $849.20 in savings before purchasing the laptop.
Explanation:
To find out how much Candace had in savings before purchasing the laptop, we will use the equation:
Savings before purchase = Total savings + Amount spent on laptop
Since Candace used 5/8 of her savings to buy the laptop, the amount spent on the laptop is 5/8 of the total savings. We can set up the equation as:
- Total savings = Amount spent on laptop / 5/8
- Total savings = $531.25 / 5/8
- Total savings = $531.25 * 8/5
- Total savings = $849.20
Therefore, Candace had $849.20 in savings before purchasing the laptop.
Learn more about Savings calculations here:
#SPJ1
G. 6
H. 18
J. 22
K. 24