What is the slope-intercept form of the function described by this table?

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

4 0

As the name suggests, the slope-intercept form requires you to find the slope and the intercept. Slope-intercept form is y=mx+b

You can find slope by rise over run, or get two points and plug them into the following formula: $\frac{y_2-y_1}{x_2-x_1}$ . However, if you see that x values increase by one, you can just find the difference between two y values. In this case, the difference is +5 each time, therefore, the slope or <em>m </em>is 5

The intercept is where x=0. Since we know that (1,2) is a point, we subtract 5 from 2 to get the intercept. Therefore, the intercept is -3

Therefore, the formula is y=5x-3

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During a sale, a store offered a 15% discount on a TV that originally sold for $900. After the sale, the discounted price of the

iVinArrow [24]

<h3>Answer: 98%</h3>

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Explanation:

The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.

85% of $900 = 0.85*900 = 765

After the 15% discount is applied, the customer would pay $765

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Then after the sale, the price is marked up by 15%

This means we'll multiply by 1.15 to indicate a 15% increase

1.15*765 = 879.75

Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.

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Afterwards, divide the value 879.75 over the original price of $900

879.75/900 = 0.9775

Move the decimal point two spots to the right to end up with 97.75%

That percentage rounds to 98% when rounding to the nearest whole percent.

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yawa3891 [41]

To find area, you multiply the two dimensions, or base x height.

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hope it helps