An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?

a) 18 students per teacher

b) 9 students per tutor

c) 7 tutors

Step-by-step explanation:

An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students.

a) How many students does the academy have per teacher?

6 teachers = 108 students

1 teacher = x

Cross Multiply.

6x = 108

x = 108/6

x = 18 students per teacher

b) Per tutor?

5 tutor = 45 students

1 tutor = x

Cross Multiply

5x = 45

x = 45/5

x = 9 students

= 9 students per tutor

c) How many tutors does the academy need if it has 63 students?

45 students = 5 tutors

63 students = x

Cross Multiply

45x = 63 × 5

x = 63 × 5/45

x = 7 tutors

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

answer: 414,377,008

step-by-step explanation:

just multiply it