Can I get some help on 3-5 please I don't understand how to do this :']

Mathematics

1 answer:

elena-s [515]2 years ago

7 0

The equation on number 3 is showing that Henry hikes 0.5 miles per hour, with x = number of hours. The graph shows that Clark hikes 15 miles in 10 hours, or 1.5 miles per hour. Clark is faster because of the reasons listed above.

Problem 4 is strange because it has a different value from x = 1 to x = 4 than it does for x = 5 and above, but my best guess would be a piecewise function:
If x < or equal to 4, 15x. If x > 4, 10 × (x - 4) + 60.

Problem 5 is much simpler: because x goes up 16 every time y goes up 6, 6/16 × x or (6/16)x.

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Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches