All categories

3 years ago

Is the relationship shown by the data linear? If so, model the data with an equation. X:1,5,9,13 Y:5,10,15,20

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Let
A (x1,y1)-------> (1,5)
B (x2,y2)------> (5,10)
C (x3,y3)------> (9,15)
D (x4,y4)------> (13,20)

find the slope
AB
m=(10-5)/(5-1)-----> m=5/4

find the slope
CB
m=(15-10)/(9-5)-----> m=5/4

find the slope
DC
m=(20-15)/(13-9)-----> m=5/4

so
<span>the relationship shown is linear
</span>
<span>to model the data with an equation find the equation of a line
</span>with m=5/4 and point A (1,5)
y-y1=m*(x-x1)-----> y-5=(5/4)*(x-1)----> y=1.25x-1.25+5-----> y=1.25x+3.75

the equation to model data is
y=1.25x+3.75

see the attached figure

You might be interested in

Jennifer had $24 to spend on five pens. After buying them she had $14. How much did each pen cost

Arturiano [62]

Answer:

Jennifer used $24-14=10 dollars in total.

The $10 was spend on five pens, each pen costing say, x, dollars.

The equation would be 10 = 5x

x = 10÷5= $2

So each pen costs $2 :)

Hope this helps! Feel free to ask below if you have any questions~

5 0

3 years ago

Read 2 more answers

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

marta [7]

Answer:

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 95 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed? Explain your answer.

Step-by-step explanation:

a. What is the probability that both selected setups are for laptop computers?

b. What is the probability that both selected setups are desktop machines?

c. What is the probability that at least one selected setup is for a desktop computer?

d. What is the probability that at least one computer of each type is chosen for setup?

3 0

3 years ago

Help with math earn 10 points

Luda [366]

Answer:

The answer is 15 Shirts

Step-by-step explanation:

We want to know what x is going to equal that makes the equation the same.

First, I make the euations equal to each other by substituting the y -->

7x + 50 = 10x + 5

Then, I combine my similar terms --> 45 = 3x

After that, I divide by 3 to get x on its own --> $\frac{45}{3} =\frac{3x}{3}$ --> 15 = x

This means that after 15 Shirts are sold, the costs for both companies are the same.

6 0

3 years ago

Read 2 more answers

What is the probability of rolling a number greater than or equal to 8 with the sum of two dice, given that at least one of the

amid [387]

Answer:

a dice goes from 1-6

6+1=7

6+2=8

6+3=9

6+4=10

6+5=11

6+6=12

Of those possible choices, 5 are greater than or equal to 8. So the answer is 5/6.

mark brainiest please

7 0

3 years ago

Read 2 more answers

Mary is making some shirts for her school’s drama department. De fabric store has three and one sixths yards of the fabric she w

Keith_Richards [23]

6 and one third. Hope this helps!

4 0

3 years ago