Question

Zach and Austin are both selling tubs of cookie dough for a fundraiser. Zach has already sold 6 tubs of cookie dough and will be able to sell 3 more tubs each day. Austin is beginning at 0 tubs sold, but will sell 5 tubs per day.

Write the equation for both of their sales:

Answer 1

`Z = 6 + 3t`

`A = 5t`

Explanation:

To model the number of tubs of cookie dough that Zach and Austin will sell over a given amount of time, we can use the equation:

`A=i+nt`

where
`i` is the initial number of tubs (already) sold,
`n` is the number of tubs that will be sold each day, and
`t` is the number of days during which the tubs will be sold.

We can identify the following variable values for Zach and Austin's cookie dough sales:

Zach

• 
  `i=6`
• 
  `n=3`

Austin

• 
  `i = 0`
• 
  `n = 5`

So, the equations that model Zach and Austin's cookie dough sales are:

`\boxed{Z = 6 + 3t}`

and

`A=0+5t`, which simplifies to
`\boxed{A = 5t}`