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:
24 minutes
Step-by-step explanation:
This can be explained with the equation y=2x+10 (I chose 2 arbritrary variables, any are acceptable). A week is equivalent to 7 days so x=10. Plug this into the equation and you end up with 24, because 2(7)+10=24
If the caterpillar crawled 22cm farther than the ant, then we are adding 53 and 22 to get 75cm.
Answer:
A
Step-by-step explanation:
3(7+3)
3(10) or 21+9
30
I'm assuming that you are trying to solve the equation for y, which we can do by isolating the variable on one side of the equation.
y/7 = 4
To get rid of the denominator of y, we have to multiply both sides by this amount (7).
(y/7)*(7) = (4)(7)
When we simplify, we get:
y = 28
If we go back to the original equation and plug in our answer, 28/7 = 4, we can see that it results in a true statement.
Therefore, the answer is y=28.
