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The cost for 10 units is $180\$$ and since the cost increases $7\$$ for each additional unit made the cost for 11 units will be $187\$,$ and the cost for 12 units will be $194\$,$ and so on. This $7\$$ increase for each additional unit made is exactly the slope of the relationship, 7 dollars per unit. This slope is commonly called $m$ so $m = 7\$$ per unit. To complete the equation of the line you need to know the Y-intercept, that is the cost when the number of units produced is $0.$ Starting at 10 units produced the total cost decreases $10\$$ for each fewer items you make. A decrease to $0$ items is a decrease of $10$ units so the total cost decreases $10 \times 7\$ = 70\$.$ Hence the Y-intercept is $180\$ - 70\$ = 110\$.$ I hope this helps, |
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |