In February, John had $1,000 in his accountIn June, he had $2,600. What is the rate of changeIn other words, by an average of how much per month is John's account changing? (Hint: June is 4 months after February) His account increases at a rate of $ per month

Respuesta :

Answer:

400

Step-by-step explanation:

2600-1000=1600 1600/4=400

John account increases at a rate of change of $400 per month.

What is rate of change?

" Rate of change is defined as the change is observed in one quantity with respect to another quantity."

Formula used

Rate of change in account

[tex]Rate of change = \frac{Change in amount }{Change in time }[/tex]

According to the question,

John account has,

Initial amount in month of February = $1000

Final amount in month of June = $2600

Change in amount = Final amount - Initial amount

                               = $2600 - $1000

                               = $1600

June represent 6th month

February represent 2nd month

Change in Month =  6 - 2

                             = 4months

Substitute the value in the formula of rate of change we get,

Rate of change = [tex]\frac{\$1600}{4}[/tex]

                          [tex]= \$400 per month[/tex]

Hence, John account increases at a rate of change of $400 per month.      

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