Answer:
![y=13\text{ miles per gallon}](https://tex.z-dn.net/?f=y%3D13%5Ctext%7B%20miles%20per%20gallon%7D)
Step-by-step explanation:
We have the two points: (0, 11) and (3, 50).
And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.
In simple terms, we want to find the slope between the two points.
So, let's use the slope formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:
![y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B50-11%5Ctext%7B%20miles%7D%7D%7B3-0%5Ctext%7B%20gallons%7D%7D)
Subtract and reduce:
![y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}](https://tex.z-dn.net/?f=y%3D39%5Ctext%7B%20miles%7D%2F3%5Ctext%7B%20gallons%7D%3D13%5Ctext%7B%20miles%20per%20gallon%7D)
And we're done!
Answer:
C. ![y = -x + 2](https://tex.z-dn.net/?f=%20y%20%3D%20-x%20%2B%202%20)
Step-by-step explanation:
First, find the slope, m, of the line that passes through the two given points.
Slope = ![\frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1](https://tex.z-dn.net/?f=%20%5Cfrac%7Brise%7D%7Brun%7D%20%3D%20%5Cfrac%7B-2%7D%7B2%7D%20%3D%20-%5Cfrac%7B1%7D%7B1%7D%20%3D%20-1%20)
Next, determine the y-intercept, b.
The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.
Now, to get an equation of the line, substitute m = -1, and b = 2 in
.
✅The equation would be:
![y = -1x + 2](https://tex.z-dn.net/?f=%20y%20%3D%20-1x%20%2B%202%20)
![y = -x + 2](https://tex.z-dn.net/?f=%20y%20%3D%20-x%20%2B%202%20)
500=350(1+0.04/12)^12x
Solve for x
500/350=(1+0.04/12)^12x
X=(Log(500/350)/log(1+0.04/12))/12
X=9 months
Answer:
y = 9
Step-by-step explanation:
The triangle is a 45-45-90 triangle. The legs are congruent, therefore y = 9
Answer:
16 in total.
Step-by-step explanation:
40 and 32 both share the common denominator 8, so 40/8 =5 and 32/8=4