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
tangare [24]
3 years ago
10

An athlete is running in a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete i

s from the school is given by y (in miles), where x + 10y = 260 (Note: 0 ≤ x ≤ 10 and 0 ≤ y ≤ 26). Complete the steps below to understand how to find the intercepts of the equation and what they represent.
Use the relationship between x and y to find the time it takes for the runner to reach the school.
Mathematics
2 answers:
Ilya [14]3 years ago
8 0
Given <span>x + 10y = 260 ; talso 0 ≤ x ≤ 10 and 0 ≤ y ≤ 26

to find the intercepts, set x=0

0 + 10(y-intercept) = 260

y-intercept = 26 miles at x=0; so runner is 26 miles from school at the start


then set y=0

x-intercept + 10(0) = 260

x-intercept = 260 minutes at y=0; so runner reaches school after 260 minutes

NOTE: the x-intercept is beyond the given range of </span>0 ≤ x ≤ 10; perhaps there is a typo n the range should <span>0 ≤ x ≤ 1000 instead?</span><span>


</span>
RoseWind [281]3 years ago
3 0
Here, we have the limits: <span> 0 ≤ x ≤ 10 and 0 ≤ y ≤ 26

When, x = 0, y = 260/10 = 26
x = 1, y = 250/10 = 25.9
x = 2, y = 258/10 = 25.8
x = 3, y = 257/10 = 25.7

and so on....for x = 10, y = 250/10 = 25

Intercepts would be: (0, 26), (1, 25.9) (2, 25.8) (3, 25.7), (4, 25.6), (5, 25.5) (6, 25.4) (7, 25.3) (8, 25.2), (9, 25.1), (10, 25)

x-coordinate represents the time taken by the athlete, and y represents the distance, he covered in that time.

Hope this helps!</span>
You might be interested in
Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
avanturin [10]

Answer:

independent variable = number of laps;

dependent variable = number of dollars​

Step-by-step explanation:

If we were to put this information into a slope-intercept form equation, the equation would be: y = 5x (dollars raised = 5 dollars per lap walked). In this case, we are going to use the variables l and d instead of x and y, respectively. The equation instead of being y = 5x, it is going to be d = 5l. In the slope-intercept form X will always be the independent variable and y the dependent variable, because the number we get for Y totally depends on what you plugged in for X. In this equation, l is the independent variable (the number of laps she walks) and d is the dependent variable (number of dollars).

6 0
3 years ago
Read 2 more answers
Lin is paid $90 for 5 hours of work. She used the following table to calculate how much she would be paid at this rate for 8 hou
ycow [4]

Answer:

It was used as the multiplier because the 5 represents the hours she's worked. If she uses the 1/5 graph she will find the unit rate of each time she gets paid an hour.

Step-by-step explanation:

7 0
3 years ago
SOMEONE PLS I NEED HELP ASAP!!! I WILL GIVE BRAINLIEST AND POINTS!!!
Olin [163]

Answer:

The resultant speed is 294.5 mi/h in a direction N79.7°E

Step-by-step explanation:

Let

East and North as the positive x and y-axis, respectively.

West and South as the negative x- and y-axis, respectively.

6 0
2 years ago
Having trouble with this problem. Please help
Airida [17]

Answer:

  A)  33 3/4°

Step-by-step explanation:

The supplement of an angle is the difference between 180° and the angle measure:

  supplement of 146 1/4° = 180° -(146 1/4)°

  = (180° -146°) -1/4° = 34° -1/4°

  = 33 3/4° . . . . supplement of the given angle

6 0
3 years ago
at lake middle school, the average ratio of boys to girls in a a classroom is 3:2. use a proportion to predict the number of gir
Olin [163]
I believe the answer is 10 girls I'm pretty sure it is 10 girls
3 0
3 years ago
Other questions:
  • Sid wrote 541,309 on his paper.Using numbers and words, explain how the number would change if he exchanged the digit in the hun
    14·1 answer
  • Which expression is equal to –2i(4– i)?
    5·2 answers
  • PLEASE ANSWER QUICKLY! : There are four questions here please make sure to click through, I got the first answer from someone bu
    12·1 answer
  • What is the sum of the interior angles of a 16-sided polygon
    6·1 answer
  • Need help with the consecutive integer one
    11·1 answer
  • Idk my little sister asked me this question but idk how to answer it
    15·2 answers
  • Write all of the word you can think of that represents division you should have at least 3
    7·2 answers
  • What is the equation of the line that passes through the points (4, 5) and (7, 3)
    7·1 answer
  • The graph of the function b is shown below. if b(x)=-1, than what is x?
    9·1 answer
  • Please help if you want BRIANLEIST!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!