If the ratio of students packing a lunch to those buying lunch is 2: 9, then the number of students buying lunch is times the number of students packing a lunch.

4.5 times

Step-by-step explanation:

Given : The ratio of students packing a lunch to those buying lunch is 2:9

To  Find :  The number of students buying lunch is ______ times the number of students packing a lunch.

Solution :

let x denotes the no. of students packing a lunch

let y denotes the no. of students buying a lunch

Since the ratio is 2:9

⇒

⇒

⇒

⇒

Since y denotes the no. of students buying a lunch and x denotes the no. of students packing a lunch

Thus , The number of students buying lunch is 4.5 times the number of students packing a lunch.

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2

c

step-by-step explanation: