Suppose you have a job teaching swimming lessons and get paid $8 an hour. you also have a job as a cashier and get paid $10 an hour. if you cannot work more than 22 hours a week, what are the number of hours you can work at each job and still make at least $190?

One has to work 7 hours as a cashier and 15 hours as a swimming teacher.

Step-by-step explanation:

Suppose you have a job teaching swimming lessons and get paid $8 an hour. Let this be represented by 's'

You also have a job as a cashier and get paid $10 an hour. Let this be represented by 'c'

Given is you cannot work more than 22 hours a week, so equation forms:

This becomes

What are the number of hours you can work at each job and still make at least $190 is represented by :

Putting values of 's' here,

hours

So, s = hours

So, one has to work 7 hours as a cashier and 15 hours as a swimming teacher to make at least $190.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.