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vazorg [7]
3 years ago
11

Anyone help me with this problem

Mathematics
2 answers:
Fantom [35]3 years ago
8 0
The answer for it is -6
MrRissso [65]3 years ago
3 0
Since y=5 the equation becomes:

5=1/2x-3
Add 3 to both sides
5+3=8, -3+3=0
Now you have:
8=1/2x
Multiply 2 (since the opposite of 1/2 is 2/1) by both sides
8x2=16, 1/2x2/1=2/2 or 1
Now you have:
16=x

When you check it:
5=1/2(16)-3
5=(16/2)-3
5=8-3

Hope this is not too confusing and it helps!
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Answer:

Part 1) y=32.5x+11.95

Par 2) see the explanation

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Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

y=mx+b    

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m is the slope or unit rate

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In this problem we have

b=\$11.95

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values in the formula

m=\frac{239.45-141.95}{7-4}

m=\frac{97.5}{3}

m=32.5

substitute the values in the linear equation

y=32.5x+11.95

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

m=\$32.5\ per\ ticket

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time  processing fee

b=\$11.95

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

y=32.5(12)+11.95

y=\$401.95

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