The equation 9c-5f+160=0 describes the relationship between temperature, C, in degrees Celsius, and temperature, F, in degrees Fahrenheit.

b)graph this relation.

We cannot graph on our posts. Sorry.

b.3,219

To graph the given equation, 9c - 5f + 160 = 0, we need to rearrange it in terms of either C or F. Let's rearrange it in terms of C.

9c - 5f + 160 = 0

To isolate C, let's move the other terms to the other side.

9c = 5f - 160

Now divide both sides by 9 to get the equation in terms of C.

c = (5f - 160)/9

To graph this equation, we can assign values to f and calculate the corresponding values of c using this equation. Let's choose a range of values for f, say -40 to 100. Then we can calculate c for each value of f and plot the points on a graph.

Here are a few values:

f = -40 --> c = (5(-40) - 160)/9 = -40
f = 0 --> c = (5(0) - 160)/9 = -17.78
f = 40 --> c = (5(40) - 160)/9 = 4.44
f = 100 --> c = (5(100) - 160)/9 = 62.22

Plotting these points on a graph, we get:

( f, c)
(-40, -40)
(0, -17.78)
(40, 4.44)
(100, 62.22)

Connecting these points, we get a line on the graph that represents the relationship between temperature in degrees Celsius (C) and temperature in degrees Fahrenheit (F) described by the equation 9c - 5f + 160 = 0.

To graph the equation 9c - 5f + 160 = 0, we need to rewrite it in terms of either c or f. Let's solve for c:

9c - 5f + 160 = 0
9c = 5f - 160
c = (5f - 160)/9

Now we can plot points on a graph by assigning values to f and calculating the corresponding values of c. Let's choose a range of values for f and calculate c accordingly.

Let's choose values for f from -40 to 100 (as it covers a typical range of Fahrenheit temperatures). We will increment f by a certain amount, such as 10.

For f = -40:
c = (5(-40) - 160)/9
c = (-200 - 160)/9
c = -360/9
c = -40

Plotting the first point (-40, -40), where -40 is the temperature in Celsius and -40 is the temperature in Fahrenheit, we get:

(-40, -40)

Next, let's calculate a few more points:

For f = -30:
c = (5(-30) - 160)/9
c = (-150 - 160)/9
c = -310/9
c ≈ -34.44

(-30, -34.44)

Similarly, we can calculate more points:

For f = -20:
c ≈ -28.88

(-20, -28.88)

For f = -10:
c ≈ -23.33

(-10, -23.33)

For f = 0:
c ≈ -17.78

(0, -17.78)

For f = 10:
c ≈ -12.22

(10, -12.22)

For f = 20:
c ≈ -6.67

(20, -6.67)

For f = 30:
c ≈ -1.11

(30, -1.11)

For f = 40:
c ≈ 4.44

(40, 4.44)

For f = 50:
c ≈ 10

(50, 10)

For f = 60:
c ≈ 15.56

(60, 15.56)

For f = 70:
c ≈ 21.11

(70, 21.11)

For f = 80:
c ≈ 26.67

(80, 26.67)

For f = 90:
c ≈ 32.22

(90, 32.22)

For f = 100:
c ≈ 37.78

(100, 37.78)

Now that we have calculated the values of c for the corresponding values of f, we can plot these points on a graph. The horizontal axis will represent f (Fahrenheit) and the vertical axis will represent c (Celsius).

Once you have plotted all these points, you can connect them using a straight line. This line represents the graph of the equation 9c - 5f + 160 = 0, which describes the relationship between temperature in Celsius and Fahrenheit.

Note: Due to the rounding of decimal values, the graph might not be perfectly straight.