We will assume that we have a function relating between the time and the temperature. Any point in this function can be expressed as (x,y) where x is the time and y is the temperature (any point is expressed as (time, temperature)).
We have two points given:
<span>At 7 p.m. the temperature is 72 degrees F: First point is (7,72)
</span><span>At 10 p.m. the temperature is 52 degrees F: Second point is (10,52)
The rate of change is simply the slope of this function, this slope can be calculated as:
rate of change = (y2-y1) / (x2-x2)
we have y2= 52, y1= 72, x2= 10 and x1= 7
Substituting in the equation, we can calculate the rate of change as follows:
rate of change = (52-72) / (10-7) = -6.667 degrees/hours
Note: The negative sign indicated a DECREASE in the temperature.</span>
Step-by-step explanation:
X + 6 = 3x - 2
Bringing like terms on one side
6 + 2 = 3x - x
8 = 2x
8/2 = x
4 = x
Answer:
a. 
b Slope: 
or 
Step-by-step explanation:
The equation of a line that passes through the origin is:
Where "m" is the slope of the line.
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
Then, you can conclude that:
a. Let be "d" the distance in miles that the train travels per gallon.
You can observe in the graph that when the train travels 10 miles, it uses 100 gallons. Then, you can set up the following proportion:
Solving for "x", you get:
Then, it travels 0.1 miles per gallon.
b. The slope is also or . To check this, you can subsitute the coordinates of the point (100,10) into and solve for "m" in order to find its value.
This is:
Answer:
(-16,17)
Step-by-step explanation:
The answer for the and point D is negative 16, 17. how you will solve this is you would take them in point and the endpoint c. to find that x of D you will do negative 4 minus 8 this equals negative 12. what you will do next is you will take the negative 12 and added to -4. this is how you get negative 16. you will then find the y of D. to do this you will take negative 7 and subtract 5. this equals negative 12. you will then take the midpoint and do 5 + 12. this equals 17. Hope this helps!
Answer:
12
Step-by-step explanation:
