Answer:
$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: [tex]1.25+0.05x[/tex]
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.
[tex]\text{The cost of a mango be in the 25th month}=1.25+0.05*24[/tex]
[tex]\text{The cost of a mango be in the 25th month}=1.25+1.2[/tex]
[tex]\text{The cost of a mango be in the 25th month}=2.45[/tex]
Therefore, the cost of a mango in the 25th month will be $2.45.