Abean 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 days?

B.

Step-by-step explanation:

The equation that will model the height of the plant after days will be of the form:

Where is the slope is the y-intercept.

The slope of the line is:

Therefore we have

All we need now is the value of .

We know that after 10 days the plant is 25 centimeters tall, or at ; thus

so we have the equation:

Of the four choices, choice B matches our result, because when we rearrange it and solve for y we get:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0