Question

If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C= cost and g= gigabytes of data used each month

Answer 1

Answer:

The value of the slope in this equation is 50

The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50

Step-by-step explanation:

To answer this question, we need to compare the given equation with the equation of a straight line graph.

The equation we have is;

c = 50g + 75

comparing this with the equation of a straight line, we have

y = mx + c

where m represents the slope and c is the y-intercept

So comparing both, the slope of the equation is 50.

The slope is always the co-efficient of the value on the x-axis

So what does this mean?

The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.

So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50