Two stores sell the same computer for the same original price. store a advertises that the computer is on sale for 25% off the original price. store b advertises that it is reducing the computer’s price by $180. when brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal.
which equation models this situation?
let p represent the computer’s original price.
a. 0.25p = p – 180
b. 0.75p = p + 180
c. 0.25(p – 180) = p
d. 0.75p = p − 180

We are required to find equation which compare the price of computer in both stores.

The equation that represents the expression is 0.75p = p - 180 and the value of the computer's original price is $720

Let

p = the computer’s original price.

Store A = 25% off the original price.

= p - (25% of p)

= p - (25/100 × p)

= p - (0.25 × p)

= p - 0.25p

= 0.75p

Store B = p - 180

The equation:

Store A = store B

0.75p = p - 180

0.75p - p = -180

-0.25p = -180

divide both sides by -0.25

p = -180 / -0.25

p = $720

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a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.