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
k = StartFraction 3 over 12 EndFraction = 0.25
Step 2
y = 0.25 x
Where did Joylin make her first error?
A.Joylin divided 3 and 12 instead of multiplying the two numbers.
B.Joylin computed the decimal equivalent of StartFraction 3 over 12 EndFraction incorrectly.
C.Joylin used 0.25 as the coefficient of x instead of a product of x and y.
D.Joylin switched the numerator and the denominator when she found k.
Answers
Answer:
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.
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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
Joylin switched the numerator and the denominator when she found k.
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Answer:
Joylin switched the numerator and the denominator when she found k.
Step-by-step explanation:
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