Question

Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]

Answer 1

Answer:

(a). 6 ; (b). $5 ;  (c). Larry'c ; (d) at time they open their accounts.

Step-by-step explanation:

Larry's saving habits is $y_{L}$ = 15x + 5

Tom's saving habits:

m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6

$y_{T}$ = 12x + 6

(a). $6

(b). $5

(c). Larry'c ( $m_{L}$ = $15 , $m_{T}$ = $12 )

(d). When $y_{T}$ > $y_{L}$ ?

15x + 5 < 12x + 6

3x < 1

x < $\frac{1}{3}$ of $1^{st}$ week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.