Question

A rabbit is 4m away from its burrow. Each hop takes it 0.4 m farther from the burrow . The following diagram shows that there is a tasty plant that is 6m from the burrow. Which equation can we use to determine h, the number of hops it takes the rabbit to reach the pant

Answer 1

4+0.4h=6

Explanation:

The plant is 6m from the burrow and the rabbit has a 4m head start. Each hop adds up to its current distance from its burrow. That's why we express it as

4 +

So you keep adding each hop till you reach 6m. Instead of adding all the hops, we can use multiplication. (As multiplication is just repeated addition). Each hop is 0.4m, so you can calculate it by multiplying 0.4m to the number of hops, which is represented by "h".

0.4h

Now let's see how many hops it takes the rabbit to reach the plant.

4 + 0.4h = 6

Subtract 4 on each side of the equation:

4 + 0.4h - 4 = 6 - 4

0.4h = 2

Divide both sides by 0.4:

0.4h/0.4 = 2/0.4

h = 5

We plug that in to see if it is correct:

4 + 0.4(5) = 6

4 + 2 = 6

6 = 6