Mathematics, 21.01.2021 23:10 gwenparks

I NEED AN ANSWER ASAP The distance between two cities on a map is 4 1/2 inches. The actual distance between the two cities is 24 miles.
What is the scale used on the map?
If the scale on a different map of the same area is 1/4 inch = 1 mile, how many inches separate the same two cities?

Helper
Jan 13, 2020
the scale is 4.5in/24mi
since 1 mile = 63360 in, that means the scale is
4.5 : 2463360 = 4.5 : 1520640 = 1:337920

Maybe now you can figure the scale on the 2nd map.

oobleck
Jan 13, 2020
Thank You, SO MUCH!
but can you answer the second question?

Helper
Jan 13, 2020

if 1 mile = 1/4 inch, then 24 miles = 24 times that in inches.

PsyDAG
Jan 13, 2020
huh. I guess you can't follow the logic? If 1/4 inch = 1 mile then the scale is
1/4 in : 63360 inin = 1/4 : 63360
now just simplify that so it is 1 :

oobleck
Jan 13, 2020
6 inches is the second answer

Helper
Jan 13, 2020

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Answers: 3

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Answers

Answer from: bckyanne3

The scale on a map reads 1/4 inch = 50 miles.

Step-by-step explanation:

Answer from: maryalice2002

A. 1 inch=6 miles.

B. 24 inches.

Step-by-step explanation:

Answer from: Quest

You would plot 83 on the 83 line and you would plot -113 on the -113 line.

Answer from: Quest

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

the function given is y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 = -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

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