Question

It is 0 degres outside, and for the next few hours, the temperature is dropping 6 degrees every hour. the temperature after hours is -6h

A.Explain what the equation -6h=-15 represents


B.what value of h makes the equation true


C.Explain what the inequality -6h <-15 represents


D. What values of h make the inequality true

Answer 1

A. The equation -6h = -15 represents the relationship between time (h) and the temperature change. The coefficient -6 represents the rate at which the temperature is dropping, and h represents the number of hours that have passed. The right side of the equation, -15, represents the final temperature after the given number of hours.

B. To find the value of h that makes the equation true, we need to solve for h. We can do this by dividing both sides of the equation by -6:

-6h / -6 = -15 / -6
h = 15/6
h = 2.5

So, the value of h that makes the equation true is h = 2.5.

C. The inequality -6h < -15 represents a condition where the temperature change (represented by -6h) is less than -15. It indicates that the temperature is dropping faster than 6 degrees per hour.

D. To determine the values of h that make the inequality true, we need to solve for h. Dividing both sides of the inequality by -6 requires flipping the inequality sign:

-6h / -6 > -15 / -6
h > 15/6
h > 2.5

Therefore, any value of h greater than 2.5 will make the inequality -6h < -15 true. In other words, if the number of hours is greater than 2.5, the temperature change will exceed -15 degrees.