Question

Which of the following equations has a rate of change of 4/5

A. Y=1.25x+4
B. Y=0.8x+5x
C. Y=0.8+5x
D. 45x

Answer 1

The equation with a rate of change of 4/5 is option B: y = 0.8x + 5, as the coefficient of x (0.8) is equivalent to 4/5.

Step-by-step explanation:

In the context of linear equations, the rate of change refers to the slope of the line represented by the equation, which is the coefficient of the variable x. To find the equation with a rate of change of 4/5, we look at the coefficient of x in each option:

• Option A: y = 1.25x + 4 has a slope of 1.25.
• Option B: y = 0.8x + 5 has a slope of 0.8, which is equivalent to 4/5.
• Option C: y = 0.8 + 5x has a slope of 5.
• Option D: 45x lacks a y-term and thus does not represent a linear function of y in terms of x.

Therefore, the equation with a rate of change of 4/5 is option B: y = 0.8x + 5.