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disa [49]
3 years ago
15

A cayenne pepper plant's height when purchased was 3 inches. One week later, the plant 's height was exactly 4.3 inches. A bell

pepper plant was also purchased at a height of 3 inches. Its height, h, after x weeks of growth is represented by h = 1.3x + 3. Assuming both plants continue to grow at a constant rate, which statement BEST compares the rate of change per week of the pepper plants?
A) 3 > 1.3
B) 4.3 > 3
C) 1.3 = 1.3
D) 3 = 3
Mathematics
2 answers:
Andreyy893 years ago
7 0

Answer:

C) 1.3 = 1.3  

:)

Naddika [18.5K]3 years ago
5 0

Answer:

  C)  1.3 = 1.3

Step-by-step explanation:

The cayenne pepper plant grew from 3 inches to 4.3 inches in one week, a rate of 1.3 inches per week.

The bell pepper plant's growth is described by a formula that has 1.3 as the number of inches of height gained each week.

The rates of growth of the two plants are 1.3 and 1.3 inches per week. A suitable comparison is ...

  1.3 = 1.3

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X = 21, angle AGE = 98˚, and angle GHD = 98˚

Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180

To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.

***Before doing this, make it all addition by converting – (+7) into + (–7)

So our equation is 5x + 3x + –7 + 19 = 180.

5x + 3x = 8x and –7 + 19 = 12      Now we have 8x + 12 = 180

This is a simple equation. We undo the addition by subtracting 12 from both sides:    8x + 12 – 12 = 180 – 12      8x = 168

Then, we undo the multiplication by dividing 8 by both sides:    8x ÷ 8 = 168 ÷ 8    x = 21      We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180

Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98    So the measure of angle AGE = 98˚

Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.

So, x = 21, angle AGE = 98˚, and angle GHD = 98˚

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3 years ago
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