The City of Killeen utilities charges for water usage per gallon on a monthly basis as listed below. Up to 500 gallons ($0.15/gallon)

More than 500 gallons - 1000 gallons ($0.33/gallon)

How much will Mrs Lapid pay if she uses 795 gallons in a particular month?

$172.35

Step-by-step explanation:

The computation of the amount need to pay for 795 gallons is shown below

Up to 500 gallons it charges $0.15 per gallon

And, for more than 500 gallons till 1000 gallon, it charges $0.33 per gallon

So for 795 gallon, the total amount would be

= 500 × $0.15 - (795 - 500) × $0.33

= $75 + $97.35

= $172.35

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.