Your video membership cost $14 per month for 10 video rentals. Each additional video rental is $2. Write in equation into variables that represent the cost of your video rentals.
Answers
Answer:the equation that represents the cost of your video rentals is y = 14 + 2(x - 10)
Step-by-step explanation:
Let x represent the number of video rentals that you made in a month.
Let y represent the total cost of x video rentals that you make in a month.
Your video membership cost $14 per month for 10 video rentals. Each additional video rental is $2. Therefore, the equation that represents the cost of your video rentals would be
y = 14 + 2(x - 10)
Where x - 10 is representing additional video rental above 10
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If the discount is 30% then the amount paid is 70% of the original price. Sally paid $20, it is the discounted price, equivalent to 70%.
We need to divide $20 by 70% to get the original price or the 100%.
$20 / 70% = $28.57 original price.
Since the handbag was has discount of 30%, we multiply the original price with the 30% to get the discount value.
$28.57 * 30% = $8.57 discount
To check: deduct the discount from the original price to get the discounted price.
$28.57 - $8.57 = $20 discounted price. price paid by Sally
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x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.