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guapka [62]
3 years ago
5

In Exercise 8.1.1, you learned the definition of direct and inverse variations, and then you practiced creating these variations

. Fill in the blanks with SOMETIMES, ALWAYS, or NEVER to complete each sentence.
Direct variations are ____ linear and _____ go through the origin.

Inverse variations are ____ linear and _____ go through the origin.

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Step-by-step explanation:

  • Direct variations are ALWAYS linear and ALWAYS go through the origin.

Because y = kx is linear function and y = 0 when x = 0

  • Inverse variations are NEVER linear and NEVER go through the origin.

Because y = k/x is not a linear function and x is never zero as we can't divide by zero.

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sertanlavr [38]

\huge\underline{Answer ☘}

a) students that travel to school by car = 14

students that do not travel to school by car = 11

total number of students = 14 + 11 = 25

percentage of students that do not travel by car =

\frac{11}{\cancel{25}}  \times \cancel{100} \\  \\  =  > 11 \times 4 \\  =  > 44\% \\

<h2>—————————————</h2>

b) 3 since we've 4 such cars in which 2 students travel , which gives us 8 students. then we've 1 car in which 3 students travel . adding them up , we get 8 + 3 = 11 students.

we've to find the number of cars that carry just 1 student.

this can be found by ,

14 - 11 = 3 cars

<h2>—————————————</h2>

c)

mean \:  =  \:  \frac{sum \: of \: observations}{total \: number \: of \: observations}  \\  \\ mean \:  =  \frac{8}{6}  =>  \frac{4}{3}  \\ \\   =  > 1.33

hope helpful ~

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2 years ago
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3 years ago
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4 years ago
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