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denis23 [38]
2 years ago
8

An experiment compares the height of two plants over time. A plant was 2cm tall at the beginning of the experiment and grew 0.5

centimeters each day. The functions f(t)=0.5+2 represents the height of the plant in centimeters after t days . Which plant for f, or g was growing faster ?
Mathematics
1 answer:
Len [333]2 years ago
4 0

Answer:

Plant F;

Plant G;

Plant G

Step-by-step explanation:

Given that:

Plant F :

f(t)=0.5x+2

From the growth graph given for the second plant ; plant G

Point 1 (0, 5) ; point 2(16, 9)

Slope = Rise / Run = (9 - 5) / (16 - 0) = 4 / 16 = 0.25

Intercept = 5 ( point where fitted line crosses the y-axis)

Linear slope intercept relation : y = mx + c

m = slope ; c = intercept

g(x) = 0.25x + 5

The slope value of plant F = 0.5

Slope value of plant G = 0.25

F > G

Hence, F is growing at a faster rate

The starting height is given by the intercept value of the two equations ;

Plant F, intercept = 2

Plant G, intercept = 5

G > F

Hence, G was taller, to begin with

Height after 8 days :

x = 8

f(8)=0.5(8)+2

f(8) =  4 +2 = 6

g(8) = 0.25(8) + 5

g(8) =  2 + 5 = 7

Hence, G was taller after 8 days

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Which equation represent the graphed function
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Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

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Find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)
timama [110]

Answer:

y = 2x - 7

Step-by-step explanation:

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y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

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Parallel lines have equal slopes , then

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Answer:
7/3

Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.

Another way to calculate the slope of the line is the use this formula:

(y2-y1)/(x2-x1)

The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:

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When we simply the fraction, we would get 7/3 and that would give us the slope.

I hope this helps!
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