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satela [25.4K]
3 years ago
12

Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had

an original price of $250, but is on sale for $150. Which guitar has a greater percent change in price? The first guitar has greater percent change of approximately 35%. The second guitar has a greater percent change of approximately 40%. The first guitar has a greater percent change of approximately 54%. The second guitar has a greater percent change of approximately 67%.
Mathematics
2 answers:
MissTica3 years ago
7 0

Answer:

40%

Step-by-step explanation:

Zolol [24]3 years ago
3 0

Subtract the sale price from the original price then divide the difference by the original price.

Guitar 1: 160 -100 = 60

60/160 = 0.375 x 100 = 37.5%

Guitar 2: 250 - 150 = 100

100/250 = 0.4 x 100 = 40%

The answer is the second guitar has a greater percent change of approximately 40%

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Answer:

y-8=-\frac{7}{3} (x-14)

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope:y-y_1=m(x-x_1)

We must find the slope using the slope formula.

Slope:m=\frac{y_2-y_1}{x_2-x_1}

We substitute x_1=4\\y_1=9 and x_2=-3\\y_2=6

m=\frac{6-9}{-3-4}

m=\frac{6-9}{-3-4}=\frac{-3}{-7} =\frac{3}{7}

m\neq \frac{3}{7} in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is m=-\frac{7}{3}.

We will substitute m=-\frac{7}{3} and x_1=14\\y_1=8.

y-8=-\frac{7}{3} (x-14)

This is the equation of the line perpendicular to the equation line through the points given that crosses through (14,8).


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