1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
3 years ago
6

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin

ear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?
y=o.47x+7.72
y=0.47x+29.15
y=2.146x-27.57
y=2.146x-2.07

Mathematics
2 answers:
sasho [114]3 years ago
7 0

Answer:

A

Step-by-step explanation:

E2020

Alika [10]3 years ago
3 0

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

You might be interested in
Which triangles must be congruent
Alex17521 [72]
All three triangles are congruent by SAS
6 0
3 years ago
A airplane flies 370 miles from point A to point B with a bearing of 24
poizon [28]
Hiyoigbv jvgkk uoiu jvduj
4 0
3 years ago
Alyassa will corerectly label the numbers 48.4 48 1/2 48.09 48 3/5 with number is closest to 49
Luba_88 [7]

Answer:

48.5

Step-by-step explanation:

4 0
3 years ago
L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.
kow [346]

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

7 0
3 years ago
Which statement correctly describes the location of the incenter of a triangle?
NemiM [27]

9514 1404 393

Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

4 0
3 years ago
Other questions:
  • Clarisse decided to do the 52 a week Money Saving Challenge. In the first week of January, she saved Php 5.00. In the second wee
    12·1 answer
  • Which is more constant-weather or climate
    10·1 answer
  • What is 3x + 6 > 30?
    7·2 answers
  • Help 10 minutes to turn in
    15·1 answer
  • 4/9+5/6 what is it?HELP!​
    15·1 answer
  • Which is a true statement about any two chords that are the same distance from the center of a circle?
    10·2 answers
  • An aquarium is filled to 3 cm from the top. how much water is in the aquarium if it is 75 cm long, 42 cm wide and 48 cm high?wha
    6·1 answer
  • A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given?
    14·2 answers
  • ILL MARK BRANLIEST !!!<br> easy<br> help
    10·1 answer
  • n/5+4=5 what is n? nwfowjvksncknknssnpxjvspdojsovjdsjsdbosdjoisdjosdjosdjgsodgjsodgjsdogjsdogjsdgosdjgosdjgosd
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!