SUPER HARD MATH problem!!!?

Question

This is a data chart of a groups bridge-thickness

Bridge Thickness (layers)1 2 3 4 5 6
Breaking Weight(pennies)22 32 40 57 68 84

Predict the breaking weight of a bridge made from 14 layers. Show all work.

PLEASE HELP I CANT FIGURE IT OUT!

Answer 1

"Super hard" is relative. Here's how you do this:

Thickness Breaking Weight
1 22
2 32
3 40
4 57
5 68
6 84

We need to find the relationship that exists between thickness and breaking weight. Notice that going from a thickness of
1 to 2 gives us 10 more units of weight,
2 to 3 gives us 8 more units
3 to 4 gives us 17 more
4 to 5 gives us 11 more
5 to 6 gives us 16 more

So the average amount of weight-bearing ability we get for each layer of thickness we add is
(10+8+17+11+16) / 5 = 12.4

We can make a rough approximation that the breaking weight will increase by 12.4 units for each additional layer we add. The breaking weight at 6 layers thick is 84. To find the breaking weight at 14 layers thick, we take 84, and add 8 more layers to it:

84 + 8*12.4
= 84 + 99.2
= 183.2

So, for a linear (first-order) approximation, 14 layers should hold about 183 pennies.

Answer 2

Using the FORECAST function on excel ... 181 ... check the help section on excel if you need the mathmatical computation.

Answer 3

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