Ajeweler is heating a gold bar. it takes 7 joules of heat to raise the temperature of the bar 1°c. the initial temperature of the bar is 25°c. how many joules of heat would be required to raise the temperature of the gold bar to 26°c, 27°c, 28°c, 29°c, 30°c, and 35°c?

We are given that it takes 7 joules of heat to raise the temperature of the bar by 1°C. Therefore this means that the heating capacity Cp is:

Cp = 7 J / °C

The formula for the amount of heat required is:

heat = Cp (Tf – Ti)

where Ti is initial temperature = 25°C, and Tf is the final temperature

When Tf = 26°C

heat = 7 (26 – 25) = 7 J

When Tf = 27°C

heat = 7 (27 – 25) = 14 J

When Tf = 28°C

heat = 7 (28 – 25) = 21 J

When Tf = 29°C

heat = 7 (29 – 25) = 28 J

When Tf = 30°C

heat = 7 (30 – 25) = 35 J

When Tf = 35°C

heat = 7 (35 – 25) = 70 J

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.