We want to solve different problems with linear relations so we can get the code.
We will find the code: SCARY
a) First we want to see which artist is the fastest.
To see this, we just need to take the quotient between the number of faces painted and the time it takes to each one to paint these faces.
We can see that the faster one is artist S, with a rate of:
r = 8 faces /100min = 0.08 faces/min
Then here the correct option is S.
b) Here we must solve:
(0.08 faces/min)*T = 1 face
T = (1 face)/(0.08 faces/min) = 12.5 min
So the correct option is C.
c) in two and half hours there are 2.5*60min = 150 minutes.
So we must compute:
(0.08 faces/min)*150 min = 12 faces
The correct option here is A.
d) The rate of artist Z is:
r = (6 faces)/(78 min) = (0.077 faces/min)
Then we must solve:
(0.077 faces/min)*T = 10 faces
T = (10 faces)/(0.077 faces/min) = 130 min
So the correct option is R.
e) First, the rate at which artist A works is:
r = (9 faces)/(120 min) = 0.075 faces/min.
The time needed to paint 18 faces is given by:
(0.075 faces/min)*T = 18 faces
T = (18 faces)/(0.075 faces/min) = 240 min = 4 hours.
We know that the artist wins $11 per hour, then in 4 hours the artist wins $44, the correct option is Y.
Then the code is:
SCARY
If you want to learn more, you can read:
https://brainly.com/question/14305692
