Answer:
y = 9x/5 + 50
Step-by-step explanation:
We are represent the information as coordinate (x,y)
If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)
Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;
(150, 320)
Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope;
m = y2-y1/x2-x1
m = 320-230/150-100
m = 90/50
m = 9/5
Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c
230 = 9/5(100)+c
230 = 9(20)+c
230 = 180 + c
c = 230-180
c = 50
Get the required equation
y = mx+c
y = 9/5 x + 50
Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50
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Answer:
5/143
Step-by-step explanation:
Answer:
There are 12 possible outcomes.
Step-by-step explanation:
This question represents combined independent events of probability. Independent events are not affected by previous events. So, your probability is the same with each flip of the coin or roll of the die. So, you just have to look at the total number of outcomes for each and multiply them. Since there are only two sides to a coin, there are only two total outcomes. Since there are six sides to a die, there are only six total outcomes. 2 x 6 = 12 total outcomes.
