Answer:
y = -6 + 1.2*x is the answer I would use, but see the note below.
Step-by-step explanation:
Let x = the number of minutes.
Let y = the temperature at any given time.
y = -6 + 1.2*x
This is the equation that you would use if you were calculating y with a calculator. If you are in a chemistry class it should be written as
y = - 6°C + 1.2°x/ min
Answer:
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
Step-by-step explanation:
Exponential equations are usually in the form;

where;
a is the initial value, that is the value of y when x is 0,
b is the growth or decay factor and also the base of the exponential function
If b>1, then it is an exponential growth function and the values of y keep getting bigger.
if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.
In the function given;

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.
From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.
Answer:
Step-by-step explanation:
-2 < -3/4. Another way in which to do this would be to use the LCD:
-8/4 < -3/4.
Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4. On the number line, -8/4 (or -2) is to the left of -3/4.
As scientists conduct their research, they make observations and collect data. The observations and data often lead them to ask why something is the way it is. Scientists pursue answers to these questions in order to continue with their research.
Answer:
The slope is 0.
Step-by-step explanation:
The slope of any horizontal line is zero.