Question

The price of a mango at a fruit stand goes up 5 cents each month. The first month the stand was open, a mango cost $1.25. What will the cost of a mango be in the 25th month?

Answer 1

$2.45

Step-by-step explanation:

Let x be the number of months.

We have been given that price of a mango at a fruit stand goes up 5 cents each month. This means that price of mango in dollars after x months will be 0.05x (1 dollar=100 cents).

The first month the stand was open, a mango cost $1.25. This means that cost of mango in the x months after 1st month will be:
`1.25+0.05x`

Now let find the cost of mango in the 25 month by substituting x=24 in our expression because price will increase 24 times after 1st month.

`\text{The cost of a mango be in the 25th month}=1.25+0.05*24`

`\text{The cost of a mango be in the 25th month}=1.25+1.2`

`\text{The cost of a mango be in the 25th month}=2.45`

Therefore, the cost of a mango in the 25th month will be $2.45.