The following situation involves a rate of change that is constant. Write a statement that describes how one variable changes with respect to the other, give the rate of change numerically(with units), and use the rate of change rule to answer any questions. A 1-degree change (increase or decrease) on the Celsius temperature scale is equivalent to a nine fifths 9/5 degree change on the Fahrenheit temperature scale. How much does the Fahrenheit temperature increase if the Celsius temperature increases 2 degrees? How much does the Fahrenheit temperature decrease if the Celsius temperature decreases 24 degrees?1. Which statement describes this situation?A. The Celsius temperature varies with respect to the Fahrenheit temperature with a rate of change of 9/5degrees F per degree C. B. The Celsius temperature varies with respect to the Fahrenheit temperature with a rate of change of 9/5degrees C per degree F. C.The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5degrees F per degree C. D. The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5degrees C per degree F.2. What is the increase in Fahrenheit temperature if the Celsius temperature increases by 2 degrees? F (type an integer or a decimal.)3. What is the decrease in Fahrenheit temperature if the Celsius temperature decreases by 24 degrees? F (type an integer of a decimal)

1) Option C is correct.

The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5degrees F per degree C

2) The increase in Fahrenheit temperature if the Celsius temperature increases by 2 degrees = (18/5) degrees = 3.6°F

3) The decrease in Fahrenheit temperature if the Celsius temperature decreases by 24 degrees = 43.2°F

Step-by-step explanation:

1-degree change (increase or decrease) on the Celsius temperature scale is equivalent to a nine fifths 9/5 degree change on the Fahrenheit temperature scale

Let temperature in Celsius be C

And temperature in Fahrenheit be F

ΔC ∝ ΔF

ΔC = k ΔF

k = constant of proportionality

When ΔC = 1°, ΔF = (9/5)°

1 = k (9/5)

k = (5/9)

ΔC = k ΔF

ΔC = (5/9) ΔF

(ΔC/ΔF) = (5/9)

1) Which statement describes this situation?

The derivative or rate of change of C with respect to F for small changes in both quantities is approximately given as

(dC/dF) = (ΔC/ΔF)

And (ΔC/ΔF) = (5/9)

Hence,

(dC/dF) = (ΔC/ΔF) = (5/9)

Taking an inverse,

(dF/dC) = (ΔF/ΔC) = (9/5) °F/°C

So, It is evident that the right option is that the Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5degrees F per degree C

2) (dC/dF) = (ΔC/ΔF) = (5/9)

ΔC = 2°C

ΔF = ?

(ΔC/ΔF) = (5/9)

(2/ΔF) = (5/9)

ΔF = (2×9)/5 = (18/5) = 3.6°F

3) (dC/dF) = (ΔC/ΔF) = (5/9)

ΔC = -24°C

ΔF = ?

(ΔC/ΔF) = (5/9)

(-24/ΔF) = (5/9)

ΔF = (-24×9)/5 = (-216/5) = -43.2°F

Hope this Helps!!!

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: