Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
Add 8 to both sides
3x=33
Divide both sides by 3
x=11
Answer: x = (-3,3), y = (-5,5)
Step-by-step explanation:
Add both of the equations together, for
. Now we can divide both sides by 3, getting
. we subtract the first equation from our equation we just got, getting
y= (5,-5). once we plug that in, we get
,
x = (-3,3)
Answer:
For 124 chirps per minute the temperature is 68 ºF.
For 68 chirps per minute the temperature is 54 ºF.
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
We know that
- At 104 chirps per minute, the temperature is 63 ºF.
- At 176 chirps per minute, the temperature is 81 ºF.
This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.
To find a linear function that let us find the outside temperature from how fast crickets chirp we must:


Solving for b

Therefore, the linear function is

Now, using this linear function we can know the temperature when we know the chirps per minute:
For 124 chirps per minute the temperature is:

For 68 chirps per minute the temperature is:

Answer: D
Step-by-step explanation:
Using the equation y = mx + b.
m represents the slope
b represents where the line crosses the y axis.
We can attempt to set up the equation given in the same way.
x - y = 0
Add y to both sides and the 0 can drop out.
x = y
This is also equal to:
y = x
In this equation the m is equal to 1 and the b is equal to 0.
Taking this into account the answer is D.