Indicate the equation of the given line in standard form.

Mathematics

2 answers:

Minchanka [31]3 years ago

5 0

wait do you want it in standard form

Neko [114]3 years ago

4 0

0.5x+y=0.5

Use the two points to find the slope. X changes by 4 while y changes by -2 so the slope is -.5. Then put it in point slope form. We'll use the point 1,0. So y-0=-0.5(x-1). Simplify it down to y=-0.5x+0.5 then carry over the x to the other side to 0.5x+y=0.5. That's how I did it, but there's probably a more efficient way to do it.

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Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ

QveST [7]

Answer:

Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

<u>180 = 4x + b</u> Subtract

145 = 5x Divide by 5

145/5 = 5x/5 Do the division

29 = x This represents the cost / day

180 = 4x + b Substitute x = 29 to find b

180 = 4*29 + b Combine

180 = 116 + b Subtract 116 from both sides.

180 - 116 = b

64 = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.