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Zanzabum
2 years ago
12

A student survey his classmates to determine their favorite movies

Mathematics
1 answer:
zheka24 [161]2 years ago
3 0

Answer:

The answer is C. Hope it helps

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1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
What is the distance between 3, 5 and -4, 1
USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}  }.

(x_{1},y_{1}) = coordinates of the first point

(x_{2},y_{2} ) = coordinates of the second point

To solve, plug the appropriate values into the formula.

d=\sqrt{(-4-3)^{2} +(1-5)^{2} } = \sqrt{65} = 8.062257748

5 0
3 years ago
Can someone please help me solve the problem for my math homework
Shtirlitz [24]
The answer is 15.25 cubic inches
6 0
3 years ago
Read 2 more answers
A statement with the word "per" is always a unit rate. true/false​
11111nata11111 [884]

Answer:

True

Step-by-step explanation:

The definition of per is for each. Per is used with units to express a rate.

3 0
2 years ago
A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation d
blondinia [14]

Answer:

d–intercept is simply the value of t when d equals zero. Which this case is when he reaches it his destination.

3 0
3 years ago
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