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1 answer:
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Answer:
cost of each video game = $5.50
cost of each movie = $4.25.
Step-by-step explanation:
Let m represent cost per movie
g represents cost per video game.
Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:
First month:
=> equation 1
Second month:
=> equation 2
Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:
4 ×
2 ×
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
You'd have:
- 4g = - 22
Divide both sides by -4
g = 5.5
Thus, the cost of each video game = $5.50.
Substitute g = 5.5 in equation 1 and solve for m.
Subtract 16.5 from each side
Divide both sides by 2
Thus, cost of each movie = $4.25.
The given equation is ⇒ y = -1.2 x + 24
<u>Part A : Graph the equation.</u>
To graph the equation, substitute with values of x then find y
The attached figure represents the table to graph the equation and the graph of the equation.
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<u>Part B : x-intercept</u>
To find x-intercept substitute with y = 0 and solve for x
∴ 0 = -1.2 x + 24
∴ 1.2 x = 24
∴ x = 24/1.2 = 20
x-intercept is at point (20,0)
==================================================
<u>Part C : y-intercept</u>
To find y-intercept substitute with x = 0 and solve for y
∴ y = -1.2 * 0 + 24
∴ y = 24
∴ y-intercept is at point (0,24)
