A city currently has 153 streetlights. As part of a urban renewal program, the city council has decided to install 3 additional streetlights at the end of each week for the next 53 weeks.
Find an explicit formula for the number of streetlights after a weeks. Pa = 153 + 3x
How many streetlights will the city have at the end of 33 weeks:

The explicit function is:

And the number of lights after 33 weeks will be 252.

Step-by-step explanation:

Given that:

Total street lights = 153

Let x be the number of weeks

Then the number lights after x weeks will be 3x

This is a linear function where the y-intercept is 153 and slope is 3.

It can be written as: y = mx+b

The function is:

Putting the values for x will give us the number of total lights after that number of weeks.

To find, how many street lights were there at the end of 33rd week,

Putting x = 33

Hence.

The explicit function is:

And the number of lights after 33 weeks will be 252.

597

step-by-step explanation:

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.