Question

Gary cycled a total of 8 km by making four trips to work. how many trips will Gary have to make to to cycle a total of 10 kilometers? assume the relationship is directly proportional.
how many trips will Gary make in 10 kilometers?

what is the constant of proportionality?​

Answer 1

Answer:

• k = 2
• 5 trips

Step-by-step explanation:

Directly proportional relationship formula:

• y = kx

We have:

• y = 8 km,
• x = 4 trips

Finding the value of k, the constant of proportionality:

• 8 = 4k
• k = 8/4
• k = 2

The equation is:

• y = 2x

If y = 10, then x is:

• 10 = 2x
• x = 10/2
• x = 5 trips

Answer 2

Answer:

It is given that the relationship between the distance covered by Gary by his cycle is directly proportional to the number of trips.

Let the number of trips be x, and the distance traveled by Gary be y

Therefore, y=kx where k is a constant

Gary cycled a total of 8 km by making four trips to work.

Equation is :---

8=4k

4k=8

k=8/4

k=2

Hence, the constant of proportionality is 2.

Now let us solve the number of trips Gary will make to cover a total of 10 kilometres

Let the number of trips be x and putting the value of k, we get

kx=10

2x=10

x=10/2

x=5

Hence, Gary will make 5 trips to cover 10 kilometres.