The average lifespan of American women has been tracked, and the model for the date is y=0.2+73, where t=0 corresponds to 1960. Explain the meaning of the slope and y-intercept.

Question

ash2326 · Answer

Have you missed a t on the right side?
$$y=0.2+73$$

anonymous · Answer

oh yeah sorry its supposed to be y=0.2t +73

ash2326 · Answer

@fufu0331 it's given as t=0 corresponds to 1960.
Put t=0 in the equation, what would you get?

anonymous · Answer

73

ash2326 · Answer

This is the y- intercept, isn't it?

anonymous · Answer

but the question is what is the meaning of slope and y intercept. i get that the y intercept is the average lifespan for women but i don't understand what the slope here is

ash2326 · Answer

OK, I'll you figure that out !
What's the slope?

anonymous · Answer

0.2

ash2326 · Answer

put t=1, what's y then?

anonymous · Answer

73.2

ash2326 · Answer

put t=2, what would you get for y?

anonymous · Answer

73.4
..... i understand how to get coordinates but i don't get why the slope is what it is

ash2326 · Answer

so we see that a year after 1960, the average age has increased by 0.2
so the slope 0.2 is the increase in average age per year

anonymous · Answer

ohhhh thanks!!

ash2326 · Answer

Do you understand this?

anonymous · Answer

yes i do thanks a lot!