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ELEN [110]
3 years ago
8

Brittany and Natalie, start cycling together from their home to school, which is 14.4 miles away. Natalie takes 40 minutes to re

ach school and Brittany reaches 20 minutes after Natalie.
How much faster is Natalie (in mph)?
Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

Answer:

7.2

Step-by-step explanation:

1. Natalie needed 40 minutes to get to school. In hours 40 minutes is 40/60= 2/3 hour (because there are 60 minutes in an hour). so her speed is 14.4/(2/3)= 14.4*3/2= 21.6 mph.

2. Britany needed 40+20= 60 min. 60 min= 1 hour. so she needed 1 hour her speed is 14,4/1= 14.4mph

3. The difference 21.6-14.4=7.2 is the answer .

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3 years ago
The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63 degre
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Answer:

For 124 chirps per minute the temperature is 68 ºF.

For 68 chirps per minute the temperature is 54 ºF.

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form

f(x)=b+mx

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.

m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.

We know that

  • At 104 chirps per minute, the temperature is 63 ºF.
  • At 176 chirps per minute, the temperature is 81 ºF.

This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and  y = the temperature in ºF.

To find a linear function that let us find the outside temperature from how fast crickets chirp we must:

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m=\frac{y_2-y_1}{x_2-x_1}=\frac{81-63}{176-104}=\frac{1}{4}

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Therefore, the linear function is

y=\frac{1}{4} \cdot x+37

Now, using this linear function we can know the temperature when we know the chirps per minute:

For 124 chirps per minute the temperature is:

y=\frac{1}{4} \cdot (124)+37=68

For 68 chirps per minute the temperature is:

y=\frac{1}{4} \cdot (68)+37=54

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