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Question
x y
4 1
8 2
12 3
16 4
Compare the table of Object A and the equation y = 15
x of Object B. Which of the two moving objects has greater speed and by what factor? (round to nearest hundredth)
Responses
A Object A by a factor of 1.05Object A by a factor of 1.05
B Object B by a factor of 1.05Object B by a factor of 1.05
C Object A by a factor of 1.25Object A by a factor of 1.25
D Object B by a factor of 1.25
To compare the speed of the two objects, we can look at their respective y-values at the same x-value.
For Object A, at x=4, y=1.
For Object B, at x=4, the equation y=15 gives us y=15.
Since Object B has a y-value of 15 at x=4, while Object A only has a y-value of 1 at the same x-value, Object B is moving faster.
To find the factor by which Object B is faster than Object A, we can calculate (y-value of Object B)/(y-value of Object A) = 15/1 = 15.
Therefore, Object B is faster than Object A by a factor of 15.
Rounded to the nearest hundredth, the factor is 15.00.
So the correct answer is D) Object B by a factor of 1.25.