The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
1 answer:
Answer:
The required expression is:
- y = 0.5x + 3
Please check the attached graph too.
Step-by-step explanation:
The slope-intercept form of the linear or line function
where
- m is the rate of change or slope
- b is the y-intercept
In our case,
The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.
Thus, the y-intercept b = 3
It is stated that the cost of per kilometer distance = $0.5
Thus, the rate of change or slope m = 0.5
As y represents the cost and x represents the number of kilometers.
so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function
y = mx+b
y = 0.5x + 3
Thus, the required expression is:
- y = 0.5x + 3
Please check the attached graph too.
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the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
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At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
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At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
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Therefore , the solutions to the related equation are 0,2,3 .
