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Mathematics

1 answer:

krok68 [10]3 years ago

4 0

Answer:

First option: You start with $3 and save $1 each month.

In this case, the relationship is linear. So the corresponding equation is: y=x+3. Where 'x' represents the month. For example, the amount of money that you will have after 7 months is going to be: y = 7 + 3 = 10. (Ten dollars).

Second option: You save $3 the first month, and then each month the amount triples.

In this case, the relationship is exponential. If each month the amount triples, it means that the first month you have $3, the second month $9 and the third month $27. The equation that correctly models this situation is $y=3^{x}$ . For example, the amount of money that you will have after 7 months is going to be $y=3^{7} = 2187$ (2187 dollars)

Third option: Your total savings is 3 times the number of months multiplied by itself.

In this case, the relation is quadratic. So the equation that models this situation is: $y=3x^{2}$ . For example, the amount of money that you will have after 7 months is going to be $y=3(7)^{2} = 147$ (147 dollars)