Question

Does anyone understand this?. I also have to show my work.

Answer 1

Ans A). The graph is shown.

Ans B). 18.3333 C temperature when F is 65 temperature

Ans C). 32 F when the line crosses the horizontal axis

Ans D). Slope of line C=
`(5)/(9)(F -32)` is
`(5)/(9)`

Explanation:

Given equation is C=
`(5)/(9)(F -32)`

Ans A).

For the table,

Take the four value of F as 32,41,50,59.

For F = 32.

The value of C is

C=
`(5)/(9)(F -32)`

C=
`(5)/(9)(32 -32)`

C=0.

For F = 41.

The value of C is

C=
`(5)/(9)(F -32)`

C=
`(5)/(9)(41 -32)`

C=05

For F = 50.

The value of C is

C=
`(5)/(9)(F -32)`

C=
`(5)/(9)(50 -32)`

C=10

For F = 59.

The value of C is

C=
`(5)/(9)(F -32)`

C=
`(5)/(9)(32 -32)`

C=15

Note: The figure shows a graph of given equation with points.

Ans B). Estimate temperature in C when the temperature in F is 65

For F = 65.

The value of C is

C=
`(5)/(9)(F -32)`

C=
`(5)/(9)(32 -32)`

C=18.333333.

Ans C). At what temperature, graph lien cross the horizontal axis

When the line crosses the horizontal axis, C=0

Therefore,

C=
`(5)/(9)(F -32)`

0=
`(5)/(9)(F -32)`

0=
`(F -32)`

F=32 Temperature.

Ans D). Slope of the line C=
`(5)/(9)(F -32)`

The slope of line is given by s=
`(Y1-Y2)/(X1-X2)`

Take points from the table of answer A.

let (32,0) and (41,5) using for slope.

s=
`(Y1-Y2)/(X1-X2)`

s=
`(0-5)/(32-41)`

s=
`(5)/(9)`

Slope of line C=
`(5)/(9)(F -32)` is
`(5)/(9)`