Question

The slope of a line in a graph represents the relationship between pencil, "x", and erasers, "y", in an office supply store is 3/2, how many erasers are there when there are 64 pencils?

A) 42.67
B) 82.75
C) 192
D) 96

Answer 1

96

Explanation:

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Answer 2

Answer:The correct answer is D) 96.

Explanation:

So, the equation representing the relationship between the number of pencils and erasers is y = (3/2)x + b.

To find the value of "b," we need to substitute the values of x and y from a known point on the line. For simplicity, let's consider the point (0,b), where x = 0. Since we do not know the actual value of "b," we can substitute another point on the line into the equation to solve for it.

Given that when there are 64 pencils, we need to determine the number of erasers, denoted as "y." So, we substitute x = 64 into the equation and solve for y.

y = (3/2)(64) + b

y = 96 + b

Now, we can substitute the known values back into the equation to find the value of "b." Given that when there are 64 pencils, we need to determine the number of erasers, denoted as "y." So, we substitute x = 64 into the equation and solve for y.

64pencils = 96erasers + b

We need to isolate "b" to find its value. Subtracting 96 from both sides of the equation:

64 pencils - 96 erasers = b

Therefore, the value of "b" is -32.

Now that we know the value of "b," we can substitute it into the equation to find the number of erasers when there are 64 pencils:

y = (3/2)x + b

y = (3/2)(64) + (-32)

y = 96 + (-32)

y = 64

Therefore, there are 64 erasers when there are 64 pencils.

The correct answer is D) 96.