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 ]
Answers
Answer:
(a). 6 ; (b). $5 ; (c). Larry'c ; (d) at time they open their accounts.
Step-by-step explanation:
Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5
Tom's saving habits:
m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6
[tex]y_{T}[/tex] = 12x + 6
(a). $6
(b). $5
(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )
(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?
15x + 5 < 12x + 6
3x < 1
x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.
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