Question

You buy 6 apples for $2.70 write and equation that can be used to express the relationship between the total price t and the number of apples a you buy.

1. t= 2.70a

2. t=0.45a

3. t=6a

t= 2.22a​

Answer 1

The correct answer is: 2. t=0.45a

Explanation:

Let t be the price of apples

and a be the number of apples

The price and quantity are directly proportional

`t \propto a`

Removing the proportionality symbol introduces a proportionality constant in the equation

`t = ka`

So far we know that cost of 6 apples is $2.70

Putting in the equation

`2.70 = k (6)\\k = (2.70)/(6)\\k = 0.45`

Putting the values of k will give us:

`t = 0.45a`

Hence,

The correct answer is: 2. t=0.45a