Question

Write the equation for this situation: the value, v, in hundreds of dollars, of Bob’s stamp collection is 12 dollars more than 1/3 of the age, t (in years).

Then graph the equation and use the graph to determine the value of Bob’s coin collection if it is 9 years old.

Please show all of your work.

Answer 1

v = (1/3)t + 12

to plot this, the easiest way (for me) is to get the x- and y-intercept (in this case, the x-axis = t-axis, and y-axis = v-axis).
to get t-intercept, we let v = 0 and solve for t:
v = (1/3)t + 12
0 = (1/3)t + 12
-(1/3)t = 12
t = -36
thus t-intercept is at (-36, 0)

to get v-intercept, we let t = 0 and solve for v:
v = (1/3)t + 12
v = 12
thus v-intercept is at (0, 12).

to plot, locate these points. connect them, and extend on both ends. you must plot this accurately since you need to find the value of v at t = 9.

hope this helps~ :)