Brad can make 4 key chains in an hour. Velma can make only 3 key chains in an hour, but she already has 6 completed key chains. Explain to Brad how he can use a system of equations to determine when he will have the same number of key chains as Velma. Please explain each step too?
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Let t represent the amount of hours.
Say molly can make 3 keys per hour
than the number of keys per hour she can make is given by the expression 3t
so can you make an expression for Brad?
so it's the number of key chains multiplied by the amount of hours?
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because Molly can make 3 keys per hour
for example when t=1 hour then M=3 this means she has made 3 keys in 1 hour
if t=2 then M=3+3=6 this mean she has made 6 keys in 2 hours because she can make 3 keys in 1 hour
Say Velma has already made 2 keys and can make 5 keys an hour.
So her function would be V(t)=2+5t
because at 0 hours V=2 which this means before she began she had 2 completed keys
at t=1 she would have V=7 this means she has had 7 completed keys after 1 hour
You can find when they have the same number of keys by setting M(t)=V(t)
by solving the following for t:
So try making an expression for Brad and Velma.
okay, one second while i do that.
Oops didn't realize you had a velma
someone said something about velma so i thought she wasn't being used
my velma is different from your velma
Brad can make 4 key chains in an hour.
This means in 1 hour he can make 4.
In 2 hours he can make 4+4=2(4)=8.
In 3 hours he can make 4+4+4=3(4)=12.
So in t hours he can make t*4 or 4t is how it is normally written.
Do you see how I came up with that?
do i have it right so far?
Let (t) represent the amount of hours. Let (V) represent Velma and (B) for Brad.
Since Velma is able to make 3 key chains per hour, vt = 3t.
Brad will be able find when he will have the same number of key chains by setting B(t)=V(t)
Solve for (t).
4t = 6 + 3t
you did it !: )
try subtract 3t on both sides
Solve for (t).
4t = 6 + 3t
Subtract 3t on both sides.
4t - 3t = 6 + 3t - 3t
Dive 1t by both sides.
1t = 6
is that correct?
so in 6 hours they will have same amount of key chains made