Question

lina hands out blankets from a box while she volunteers at a shelter. the graph shows the total weight of the box, y, as a function of the number of blankets handed out, x. \
blankets handed out, x | total weight (lb), y\
0 | 37\
1 | 34\
2 | 31\
3 | 28\
describe the initial value of the function.\
the initial value is \boxed{?} . it represents the weight of the box, in pounds, \boxed{?} lina hands out blankets.\
before\
after

Explanation:

Step1: Identify Initial Value

The initial value of a function (when it's a linear function here) occurs at \( x = 0 \). From the table, when \( x = 0 \) (blankets handed out is 0), the total weight \( y = 37 \) lb.

Step2: Interpret Initial Value

Since \( x = 0 \) means no blankets have been handed out yet, this weight represents the weight of the box before Lina starts handing out blankets.

Answer:

The initial value is \( 37 \). It represents the weight of the box, in pounds, before Lina hands out blankets.