Question

Write an expression that represents an increase of 5% over the

original cost of $d as both a sum and product of d.

Answer 1

Sum equation:
`d + 0.05d`

Product equation:
`1.05d`

Explanation:

If we have an increase in 5% of d, that means that 5% of d (
`0.05\cdot d`) will be the total amount of money added to it.

However, we need to still count the original price of d, if we increase it by 5%!

So we add d to 0.05d.

`d + 0.05d` is the sum equation.

Now, we can create the product equation for d by expanding the coefficients for the previous equation,
`d + 0.05d`.

`1d + 0.05d`

We can add like terms here:
`1 + 0.05 = 1.05`! So we can just multiply this by d for our product equation.

`1.05d`

Hope this helped!