gracebail
Answered

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A bean plant grows at a constant rate for a month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant. y after x davs?

A Bean Plant Grows At A Constant Rate For A Month After 10 Days The Plant Is 25 Centimeters Tall After 20 Days The Plant Is 45 Centimeters Tall Which Equation M class=

Sagot :

aaronsflyingfox

,,Answer:

Thus, the equation would be

y - 25 = 2(x - 10)

Option B is correct

Step-by-step explanation:

Given that the rate is constant, we would write the equation in the slope-intercept form, which is expressed as

y = mx + c

where

m represents slope, and it also represents the constant rate

c represents the y-intercept

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

From the information given,

x represents the number of days

y represents height

Thus,

when x1 = 10, y1 = 25

when x2 = 20, y2 = 45

Substituting these values into the formula, we have

m = (45 - 25)/(20 - 10) = 20/10 = 2

We would find the y-intercept, c by substituting m = 2, x = 10 and y = 25 into the slope-intercept equation. We have

25 = 2 x 10 + c

25 = 20 + c

c = 25 - 20

c = 5

By substituting m = 2 and c = 5 into the slope-intercept equation, the equation models the height of the plant. y after x days is

y = 2x + 5

The options are written in point-slope form, which is expressed as

y - y1 = m(x - x1)

Thus, the equation would be

y - 25 = 2(x - 10)

Option B is correct

Answer:

b is correct just took the exam

Step-by-step explanation:

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