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hoa [83]
3 years ago
14

Help? someone plzzzz​

Mathematics
1 answer:
malfutka [58]3 years ago
6 0
Answer is a. (2,2)
Because for it to be a function each x value can only have one y value. And in the chart it says x is 2 and 8
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A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
3 years ago
9u²v and which term are like terms?
MaRussiya [10]
There are no like terms in 9u^2v because it is all one term and none of the variables are like one another.
4 0
3 years ago
Simplify 7(x - 2) - 4x + 9​
DaniilM [7]
First, multiply. 7x-14-4x+9. Now, add the like terms. 3x-5.
7 0
3 years ago
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Which expression use the associative property to make it easier to evaluate 20 (3/5 × 6)
Marizza181 [45]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
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Devon is making 8 loaves of bread. Each loaf of bread needs
kondor19780726 [428]

Answer:

30 cups of flour

Step-by-step explanation:

3 x 8 = 24

3/4 x 8 = 24/4 = 6

24 + 6 = 30

6 0
2 years ago
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