Which restaurant has the greater rate of change? A) Juice Jammers B) Bob's Burgers

Mathematics

1 answer:

hodyreva [135]3 years ago

7 0

Answer:

The answer is Juice Jammers

Step-by-step explanation:

To determine which has a greater rate of change calculate out the rate of change for Juice Jammers. In order to do so, we use the first two points in the table and the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (29.25 - 0)/(25 - 0)

m = 29.25/25

m = 1.17

This gives Juice Jammers a higher rate of change than Bob's Burgers

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A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho

a_sh-v [17]

Answer:

58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

Sin = Opposite/Hypotenuse

sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).