1. Chen starts his own lawn mowing business. He initially spends $130 on a new lawn mower. For each lawn mower he mows, he receives $20 and spends $5 on gas. Interpret the point of intersection.

2. Eric sells model cars from a booth at a local flea market. He purchases each model car from a distributor for $15, and the flea market charges him a booth fee of $50. Eric sells each model car for $20. Interpret the point of intersection.

3. The length of Sally’s garden is about 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. Find the dimensions of Sally’s garden.

4. Jerome sells flowers online for $10 per bouquet. Each bouquet costs him $5 to make. Jerome also paid a one time fee of $100 to advertise his company. Interpret the point of intersection.

there are no short passages to look at

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!