Answer:
25
Step-by-step explanation:
Step 1: 350:14
Step 2: 175:7
Step 3: 7/7= 1
Step 4: 175/7=25
350:14=25:1
The car will run 25 miles for each gallon of gas
Answer:
k = -2
Step-by-step explanation:
x -1 0 2 5
f(x) 2 0 -4 -10
ƒ(x) = kx
Substitute a pair of values for x and ƒ(x)
-10 = k×5
Divide each side by 5
k = -2
The constant of variation k = -2.
Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.
Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.
5 - (-7) / -2 - 2
5 + 7 / -4
12/-4
-3
The slope is -3. The equation becomes y = -3x + b.
To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)
y = -3x + b
5 = -3(-2) + b
5 = 6 + b
-1 = b
The y-intercept is (0, -1). The equation can now be completed!
<h3>
Answer:</h3>
y = -3x - 1
Step-by-step explanation:
3x - 4(4) = 65
3x - 16 = 65
3x = 81
x = 27
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