Question

(01.02) jessica is saving money for a new sailboat. She has already saved $1,000 and plans to save $150 per week. This situation can be represented by the function f(x) = 1,000 + 150x, where x is the number of weeks. How much money has jessica saved after 12 weeks? $1,000 $1,800 $2,800 $3,000

Answer 1

Initial (fix) saving = $1,000.

Saving per week (variable saving) = $150.

Given function for total savings after x week, f(x) = 1,000 + 150x.

According to problem x represents number of weeks.

We need to find the total saving after 12 weeks.

In order to find the total savings after 12 weeks, we need to plug x=12 in the given function f(x) = 1,000 + 150x because x represents number of weeks.

Plugging x=12, we get

f(12) = 1,000 + 150(12).

Multiplying 150 by 12, we get 1800.

f(12) = 1,000 + 150(12) = 1,000 +1,800.

Adding 1,000+,1800, we get

=2,800.

Therefore, total saving after 12 week is $2,800.