Elentine started with 110 lirts on his farm. Every hour he exploded 4 more of them. Farmer Hab started with 33 lirts oh her farm every hour she bought 7 more of them.
Write a system of equations in slope intercept form to model each farmers lirts (y) as hours (x) increase

The system of equations in the slope-intercept form is;

Farmer Elentine: .

Farmer Hab: .

Step-by-step explanation:

Step 1:

Farmer Elentine starts with 110 lirts on his farm. So the constant for the equation is 110. If he explodes 4 of them with every passing hour

after 1 hour, lirts exploded = ,

after 2 hours, lirts exploded = ,

after x hours, lirts exploded = .

Step 2:

To calculate the lirts in a particular period of time, we subtract the number of lirts exploded from 110.

The slope-intercept form is

If y represents the number of lirts and x is the number of hours, then

.

Step 3:

Farmer Hab started with 33 lirts on her farm. So the constant for the equation is 33. If she bought 7 of them with every passing hour,

after 1 hour, lirts bought = ,

after 2 hours, lirts bought = ,

after x hours, lirts bought = .

Step 4:

To calculate the lirts in a particular period of time, we add the number of lirts bought with 33.

The slope-intercept form is

If y represents the number of lirts and x is the number of hours, then

.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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