When digging into the earth, the temperature rises according to the linear function t = 15 + 0.01 h where t is the increase in temperature in degrees and h is the depth in meters.
1.) Which of the following is the dependent variable?
a. Depth in Meters
b. Digging into the earth
c. Increase in Temperature
d. Linear Function
2.) Which of the following best describes the slope of 0.01?
a. The temperature of the earth remains constant.
b. The rate of the temperature of the earth to its depth is 0.01.
c. The temperature of the earth increases as we go deeper.
d. The temperature of the earth rises for every 15m.
3.) What will the temperature be at 100 m depth?
a. 14℃
b. 15℃
c. 16℃
d. 17℃
t = 15 + 0.01 h
t = 15 + 0.01(100)
t = 15 + 1
t = 16℃
4.) Based on this equation, at what depth would there be a temperature of 100 ºC?
a. 8500m
b. 8515m
c. 8550m
d. 8551m
t = 15 + 0.01 h
100 = 15 + 0.01(h)
100 - 15 = 0.01h
85 = 0.01h
h = 85/.01
h = 8500m
5.) What does the y-intercept mean?
a. The temperature begins to increase at 15m depth.
b. The temperature does not increase yet at 15m depth.
c. The temperature is higher at 15m depth.
d. The temperature is lower at 15m depth.
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