You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.

Step-by-step explanation:

Given

Hours = not more than 10

Earnings = At least 56

Required

Represent this as a system of inequalities

Let c represents the cleaning job

Let r represents the retail job

The number of hours

Not more than means

So:

Earnings

c = 7.50 per hour

r = 10 per hour

Earnings = At least 56

At least 56 means

So;

Hence, the system is:

cheater

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.