Question

What is the initial value of the linear function that represents this situation

Answer 1

Answer:

As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.

Let x represented day and y represents the number of photo

Total number of 24  photo in x days is, 24x

then; as per the given statement our equation becomes;

y = 24x+44            .....[1]

now, to find the total number of photos took by Hannah for 6 days in Rome;

put x = 6 in [1] we get;

y = 24(6) + 44 = 188

Therefore, the total number of photos on Hannah's Camera is, 188 photos.

To, find the initial value for the linear function y =24x +44.

Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.

Substitute x =0 in y =24x +44

y= 24(0) + 44

y = 0 + 44

y = 44

Therefore, the initial value for the equation y =24x+44 is 44 photos.