Math is complicated

Question

Giana has started collecting sea shells. Every month she adds 4​ new shells to her collection. After 8​ months of collecting, she has 40​ shells in her collection. Using this information, create an equation written in point-slope form that models the amount of shells y​ in Giana’s collection after x​ months.

Answer 1

after 8 months 40 shells

4 more each month, slope=4

in x months she has

s = 40+4(x-8) = 40-32-+4x =4x+8, 8=intercept

s=4x+8 shells after x months

f(x)= 4x+8

y=mx+b is slope intercept form, m=slope, b=intercept

y= shells as a function of x, m=4 shells per month, b=8 shells at time zero