Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below. Joylin’s Work Step 1 x=3/12=0.25 Step 2 y=0.25x Where did Joylin make her first error? Joylin divided 3 and 12 instead of multiplying the two numbers. Joylin computed the decimal equivalent of 3/12 incorrectly. Joylin used 0.25 as the coefficient of x instead of a product of x and y. Joylin switched the numerator and the denominator when she found k.
Solution:
Joylin switched the numerator and the denominator when she found k.
Joylin should divide 12/3 and not 3/12. As, y is total cost and x is number of videos.
For x=1, number of videos=1, y,or total cost=1*4=4,
For x=2,y=2*4=8
For x=3, y=3*4=12
So, the constant, k=4
So, Answer: Option (D)
Joylin switched the numerator and the denominator when she found k.
Answer: 21.21 cm
Step-by-step explanation:
Given
length of diagonal on the square is 30 cm
Suppose a is the side length of the square
and length of diagonal is given as 
So,

Thus, the side length of the square is 21.21 cm
For this case you can use the following equation:
d = (2 2/5) h
Rewriting:
d = (2.4) h
Then, we have that the height is:
h = 22 1/4
Rewriting:
h = 22.25
Finally the diameter is:
d = (2.4) (22.25)
d = 53.4 feet
The volume of the cylinder is:
V = pi * ((d / 2) ^ 2) * (h)
V = (3.14) * ((53.4 / 2) ^ 2) * (22.25)
V = 49806.05985 feet ^ 3
Nearest hundreth:
V = 49806.06 feet ^ 3
Answer:
The volume of the cylinder is:
V = 49806.06 feet ^ 3
Answer:
75000 meters
Step-by-step explanation:
1 km=1000 meters
Answer:

Step-by-step explanation:
There are infinite cases of equations with exactly one real solution. To create something worth the space, this one should suffice

Operating

Simplifying

Joining like terms

Solving
x=1
Testing the result
