Question

A weatherman collected data on snow accumulation. A line of best fit was computed. The equation for the line is: y = 1.5x + 0.125. Which BEST interprets the slope of the linear model?

A) The snow is accumulating at 1.5 inches every hour.


B) The snow is accumulating at 1 inch every 1.5 hours.


C) The snow is accumulating at 1 inch every 0.125 hours.


D) The snow is accumulating at 1.5 inches every 0.125 hours.

Answer 1

The correct answer is A. The snow is accumulating at 1.5 inches every hour.

Explanation:

Let's evaluate the given linear equation, this way:

y = 1.5x + 0.125, where:

• y represents the total inches of snow accumulated after x hours
• x represents the number of hours the weatherman collected data
• 0.125 that represents the constant value, no matter how many hours the weatherman collects data, this value will not change at all
• 1.5 that represents the ratio of change or slope in inches of snow accumulated every hour

Therefore, options B, C, and D are not true. The correct answer is A. The snow is accumulating at 1.5 inches every hour.

Answer 2

Option A) The snow is accumulating at 1.5 inches every hour.

Explanation:

The general form of the equation of the line is y = mx + c

where m is the slope or rate of change

For the given equation y = 1.5x + 0.125

Where y is The snow is accumulation and x is number of hours

So, comparing the given equation to the general form

∴ m = 1.5 which represents the The snow accumulation per hour

Which mean every one hour the snow accumulation is 1.5 inches.

According to the previous the answer is option A

A) The snow is accumulating at 1.5 inches every hour.