Igor’s summer job at the frozen yogurt shop paid him the following amounts in his first three days on the job (he got paid the same hourly rate every day). Day 1 Day 2 Day 3
Hours worked 6 9 7
Amount paid $57.00 $85.50 $66.50

What is Igor's unit rate of change of dollars with respect to time; that is, how much is he paid for one hour worked?

Graph the proportional relationship described above, with the x-coordinate representing hours worked, and the y-coordinate representing amount paid in dollars.

-- Unit rate of change

See attachment for graph

Step-by-step explanation:

Given

Solving (a): The unit rate of change.

This implies that we calculate the slope of the table.

This is calculated as:

Where:

The equation becomes

To graph the table, we need to determine the equation.

To do this, we make use of:

Substitute values for m, x3 and y3

Open bracket

See attachment for graph

it has the same slope and a different y-intercept

hope this : )

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.