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Mathematics 17 Online
OpenStudy (joftheworld):

5 medals for 5 linear function questions ! [attachment]

OpenStudy (joftheworld):

OpenStudy (kirbykirby):

Do you have an idea what the linear equation would look like?

OpenStudy (joftheworld):

no..

OpenStudy (kirbykirby):

Ok well 30 $ per hour... How could you model that part if "x" is the number of hours?

OpenStudy (joftheworld):

30 * 8.5 ?

OpenStudy (kirbykirby):

yes that part is good so far :). But there is also an extra $50 charge! so you just need to add that part

OpenStudy (joftheworld):

so $305 ?

OpenStudy (kirbykirby):

yup :)

OpenStudy (joftheworld):

thanks! how about this one

OpenStudy (kirbykirby):

1st step... determine how many gallons of gas did they buy? 1 gallon -> 1.35$ x gallon -> 23.50$

OpenStudy (joftheworld):

do i divide ?

OpenStudy (kirbykirby):

yes

OpenStudy (joftheworld):

so $17.40 ?

OpenStudy (kirbykirby):

well 17.40 gallons

OpenStudy (kirbykirby):

(maybe round it to 17.41..)

OpenStudy (joftheworld):

sorry my computer restarted..

OpenStudy (joftheworld):

so how far did they travel ?

OpenStudy (kirbykirby):

well you have 17.40 gallons, and there is 8 initially in the tank, so 25.4 gallons Now, 1 gallons gives 27 miles , so: 1 gallon -->27 miles 25.4 gallons --> x miles

OpenStudy (joftheworld):

so divide 27 and 25.4 ?

OpenStudy (kirbykirby):

no, in this case you need to multiply You can always do this set-up: \[ \frac{1}{25.4}=\frac{27}{x}\], when you cross multiply you get: \(1x = 27(25.4)\\ x = 27(25.4)\)

OpenStudy (joftheworld):

685.8 miles ?

OpenStudy (kirbykirby):

yes

OpenStudy (joftheworld):

okay thanks ! next problem..

OpenStudy (kirbykirby):

1 gizmo requires 36$ of materials, and 20$ in labour.. so each gizmo costs 56$

OpenStudy (kirbykirby):

Now there are 50 gizmos..

OpenStudy (joftheworld):

i dont get it ..

OpenStudy (kirbykirby):

1 gizmo --> costs 56$ (from 36 and 20) 50 gizmos --> costs xx$ ??

OpenStudy (joftheworld):

2800 ?

OpenStudy (kirbykirby):

yes

OpenStudy (kirbykirby):

There's also the extra 6000$ cost now which is the rent

OpenStudy (joftheworld):

so is 2800 the answer?

OpenStudy (kirbykirby):

(the problem is a bit vague in not specifying how many months of expenses they are interested in.. I'm assuming here just 1 month)

OpenStudy (kirbykirby):

well the rent is also a cost to consider

OpenStudy (kirbykirby):

you have to add it to the cost of the gizmos

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