Lucia and maria are business women who decided to invest their money by buying farmland in brazil. they started their investments at the same time, and each month they buy more land. lucia bought 11 hectares of land in the first month, and each month afterwards she buys 5 additional hectares. maria bought 6 hectares of land in the first month, and each month afterward her total number of hectares increases by a factor of 1.4. in which month will maria's amount of land first exceed lucia's amount of land?

7 is the answer

Step-by-step explanation:

For Lucia you would add 5 each month for Lucia, Maria you would multiply by 1.4 every month. For example:

Lucia : Month1: 11                             Maria: Month1: 6

Lucia :Month2: 16                            Maria: Month2: 8.4

Lucia Month3: 21                             Maria: Month3: 11.76

Lucia Month4: 26                            Maria: Month4: 16.46

Lucia month5: 31                             Maria: Month5: 23.05

Lucia Month6: 36                            Maria: Month6: 32.27

Lucia Month7: 41                              Maria: Month7: 45.18

All you have to do is add 5 for every month and for Maria just multiply by 1.4 every month.

The Answer is the 7th month.