Question

Hi could someone explain this?? im thinking it is J=50(15)^t??? ​

Answer 1

Answer:

J=15t+50

Step-by-step explanation:

The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.

The equation becomes: J=15t+50

To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.

Checking t=0:

J=15(0)+50=0+50=50

Checking t=1:

J=15(1)+50=15+50=65

Checking t=2:

J=15(2)+50=30+50=80

The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.