Question

Carrie saved money to spend while on a one-month vacation to Europe. On day 8, she had $2,400 remaining. On day 16, she had $1,600 remaining.
If her spending is modeled by a linear function, how much money did she initially take with her to Europe?

A) $3,000


B) $3,100


C) $3,200


D) $3,600

Answer 1

If this is represented by a linear function, then we know that the amount of money decreases at an unchanging amount. Knowing this, and knowing that on day 8, she had 2400, we simply just add 2400 to 8 100's:

2400 + 8*100 = 2400 + 800

Carrie initially had $3200, or Option C.

Answer 2

Answer:

$3,200

Step-by-step explanation:

slope =  

1,600 - 2,400

16 - 8

= -100

y = mx + b

2,400 = -100(8) + b

b = 3,200

thus,

y = mx + b

y = -100x + 3,200

y = -100(0) + 3,200

y = 3,200