After one month at a new job you decide to save $50. Each month you plan to increase your savings by five dollars.
a.)Write an explicit formula to model the amount you will save each month.
b.)How much will you save in the seventh month?
savings=50+5*time
355
50 plus 5 times 7
I you add 5 extra dollars each month for 7 months that would be $35 extra.
Also, watch your order of operations. Bob showed you 50 plus 5 x time.
You always do the multiplication first then the addition.
Oh! So it'll be:
5*7=35
35+50=85
Will save 85 dollars after the seventh month. Thanks.
a.) To write an explicit formula to model the amount you will save each month, we can start by analyzing the given information.
We know that you will save $50 in the first month, and each following month you will increase your savings by $5. This can be represented mathematically as:
Amount saved in the first month = $50
Amount saved in the second month = $50 + $5
Amount saved in the third month = $50 + 2($5)
Amount saved in the fourth month = $50 + 3($5)
...
Based on this pattern, we can see that the amount saved in a particular month can be calculated using the formula:
Amount saved in the nth month = $50 + (n-1)($5)
b.) To determine how much will be saved in the seventh month, we can substitute the value of n=7 into the formula:
Amount saved in the 7th month = $50 + (7-1)($5)
Simplifying the equation:
Amount saved in the 7th month = $50 + 6($5)
Amount saved in the 7th month = $50 + $30
Amount saved in the 7th month = $80
Therefore, you will save $80 in the seventh month.