A study was done to investigate the use of text messaging over time. The correlating linear model is shown, where x represents the number of years after 2006, and y represents the average number of text messages a person sends monthly. Interpret the y-intercept.

A.
In 2006, a person sent an average of 146 text messages per month.
B.
In 2005, a person sent an average of 146 text messages per month.
C.
In 2006, a person sent an average of 65 text messages per month.
D.
In 2005, a person sent an average of 65 text messages per month.

Question

A study was done to investigate the use of text messaging over time. The correlating linear model is shown, where x represents the number of years after 2006, and y represents the average number of text messages a person sends monthly. Interpret the y-intercept.

A. 
In 2006, a person sent an average of 146 text messages per month.
 B. 
In 2005, a person sent an average of 146 text messages per month.
 C. 
In 2006, a person sent an average of 65 text messages per month.
 D. 
In 2005, a person sent an average of 65 text messages per month.

niya84 · Answer

i need help!

Mercury · Answer

equation is y = 146x + 65
since x = years after 2006, then naturally x = 0 means 0 years after 2006, meaning the year 2006 itself.

the y-intercept is defined as the value of y when x = 0, so simply plug x = 0 into  y = 146x + 65 and solve for y. once you have your y-intercept, see which answer choice is consistent with all the info we have discussed so far.