A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:
y = 4x + 1000
assuming y is the income and x is the consumption.
At an income (y) equal to $20,000, we can calculate for the consumption.
20000 = 4x + 1000
19000 = 4x
x = 4750
Answer:
15/8
Step-by-step explanation:
tan 2θ = 2 tan θ / (1 − tan² θ)
tan 2θ = 2 (3/5) / (1 − (3/5)²)
tan 2θ = (6/5) / (1 − 9/25)
tan 2θ = (6/5) / (16/25)
tan 2θ = (6/5) × (25/16)
tan 2θ = 15/8
Answer:
35 miles
Step-by-step explanation:
I think its 35 because the information about turning right 12 miles is unnecessary because the question states what is the straight line distance from our starting point.
9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
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Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
