Y-80x=65 in function notation

Mathematics

2 answers:

kolezko [41]4 years ago

5 0

Answer:f(x) = 80x + 65f

Step-by-step explanation:

Since x = days and y = total rent, you've been given two points on your function: (5, 465) and (7, 625). We'll find the slope using those two points:

(625 - 465) / (7 - 5) = 160/2 = 80

Then, use m = 80 and one of the points to write the equation of your line in point-slope form:

y - y1 = m(x - x1)

y - 465 = 80(x - 5)

Convert that to standard form:

y = 80(x - 5) + 465

y = 80x - 400 + 465

y = 80x + 65

y - 80x = 65

In function notation, that's:

f(x) = 80x + 65

telo118 [61]4 years ago

5 0

Answer:

f(x) = 80x + 65

Step-by-step explanation:

f(x) is another way of expressing y → y = f(x)

given y - 80x = 65 ( add 80x to both sides )

y = 80x + 65

or f(x) = 80x + 65 ← expressed in functional notation

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Natasha_Volkova [10]

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3 years ago

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MrRissso [65]

Step-by-step explanation:

For g(x) = f(x) + 5:

Because f(x) = x, this can be simplified to:

y = x + 5

For h(x) = 2 * f(x) - 3, simplified to:

2*x - 3 or 2x - 3

For j(x) = $\frac{1}{2} * f(x) - 1$ , simplified it is

$\frac{1}{2}x - 1$

For f(x), this can be drawn relatively easy, it is a linear line starting at the coordinates (0,5) gradually increasing by 1 in both the y and x axis. It can be drawn parallel to the line given in your question just one above.

For h(x), the line will start at (0, -3) but then have an incline of 2, i.e. the second point would be at 1, -1, and the third at (3, 3). This is because you are doubling the value of x but subtracting 3.

For j(x), x is halved so the line will be less steep although it will start at the coordinate (0, -1) because 1 is being subtracted.

Hope this helps!