Aria bought a plant and planted it in a pot near a window in her house. as the plant grows, its height, in inches, can be modeled by the function h(t)=4t+16,h(t)=4t+16, where tt is the number of months since aria bought the plant. what is the slope of the function and what is its interpretation in the context of the problem?

Linear function : y=mx+C , where x= independent variable, y = dependent variable and m is the slope of function.

it tells that the rate of change of y with respect to x is m.

Given : Aria bought a plant and planted it in a pot near a window in her house.

As the plant grows, its height, in inches, can be modeled by the function

, where t is the number of months since Aria bought the plant.

here, t= independent variable

H(t)= dependent variable

Comparing this to the general linear function , we conclude that m= 4

i.e. slope of the function = 4

Interpretation : The rate of change of height of the plant = 4 inches per month.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas