A small applience manufacturer finds that it costs $9000 to make 1000 toasters per week and $12,000 to make 1500 per week

Express the cost as a function of the number of toasters produced

what is the slope of the graph and what does it represent
whats the y intercept

Question

A small applience manufacturer finds that it costs $9000 to make 1000 toasters per week and $12,000 to make 1500 per week

Express the cost as a function of the number of toasters produced

what is the slope of the graph and what does it represent 
whats the y intercept

anonymous · Answer

what is the line through the points (1000,9000) and (1500,12000)
The slope represents how much it costs to make one appliance
the y-intercept represents how much it costs even though the appliance manufacturer doesn't make anything

anonymous · Answer

y=6x+3000

anonymous · Answer

do you know what the expressed function is ?

anonymous · Answer

ah how do you find that?

anonymous · Answer

well, what is the line passing through (1000,9000) and (1500,12000)
So, the slope of the line is
m=(y1-y2)/(x1-x2)
m=6
Then choose one point and plug into point-slope form y-9000=6(x-1000)
y-9000=6x-6000
y=6x+3000

anonymous · Answer

that makes so much more sense thank you for your time