The amount of time required to download a song from michael's computer to his music player is the same for each song he downloads. a linear model of this situation contains the values (100, 80) and (212, 169.6), where x represents the number of songs he wants to download to his music player, and y represents the total amount of time, in minutes, it will take him to download the songs. what is the rate of change in this linear model? a. 1.6 minutes per song b. 0.4 of a minute per song c. 0.8 of a minute per song d. 112 minutes per song

ans is C. 0.8 of a minute per song

Step-by-step explanation:

x represents the number of songs he wants to download to his music player,

and y represents the total amount of time, in minutes, it will take him to download the songs.

(100, 80) and (212, 169.6)

subtracting: he DL 212-100=112 songs in 169.6-80=89.6 minutes

so the rate of change = 89.6/112 = 0.8 minute per song

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.