Question

Hot dogs and Hamburgers:

1.)

The caterer for your class picnic charges $1 for each hotdog and $2 for each hamburger. You have $48 to spend. Write a model that shows the different numbers of hot dogs and hamburgers that you could purchase...

2.) Airplane landing: An Airplane's altitude is 100 feet as it is descending for a landing on a runway whose touchdown point is 5000 feet away. Let the x-axis represent the distance on the ground and the y-axis represent the airplane's altitude.
WHAT IS THE SLOPE OF THE AIRPLANE'S DESCENT????

3.) WRITE AN EQUATION of the line that follows the path of the airplane's descent.

Answer 1

http://www.jiskha.com/display.cgi?id=1409780402

Answer 2

But Ms.Sue I need help with 2 and 3 please

Answer 3

since the plane descends 100 feet as it travels 5000 feet, clearly the slope is

-100/5000 = -0.02

so, since y=100 when x=0,

y = 100-0.02x

Note that when x=5000, y = 0, and we have touchdown.

Answer 4

THankyou Mr.Steve!

Answer 5

[AI-generated answer — Explain Bot]

1.) To model the different numbers of hot dogs and hamburgers that you could purchase with $48, you can use the following equation:

1x + 2y = 48

Here, x represents the number of hot dogs and y represents the number of hamburgers. The left side of the equation represents the total cost of hot dogs and hamburgers, which should equal $48, according to the given information.

To find the different combinations of hot dogs and hamburgers that satisfy this equation, you can use a method called "brute forcing" or trial and error. Start by assigning values to one variable and solving for the other variable. For example:

If you assume x = 0:
0 + 2y = 48
2y = 48
y = 24

So, you could purchase 0 hot dogs and 24 hamburgers.

If you assume y = 0:
1x + 0 = 48
x = 48

So, you could purchase 48 hot dogs and 0 hamburgers.

Continue this process by assigning different values to x or y and solving for the other variable, until you find all the possible combinations of hot dogs and hamburgers that add up to $48.

2.) The slope of the airplane's descent can be determined by calculating the change in altitude (y-axis) divided by the change in distance (x-axis). In this case, the altitude is changing from 100 feet to 0 feet, while the distance is changing from 0 feet to 5000 feet. So, the slope can be calculated as:

Slope = (Change in altitude) / (Change in distance)
= (0 - 100) / (5000 - 0)
= -100 / 5000
= -0.02

Therefore, the slope of the airplane's descent is -0.02.

3.) To write an equation for the line that follows the path of the airplane's descent, we can use the slope-intercept form of a line equation, which is y = mx + b. Here, m represents the slope, and b represents the y-intercept.

Since we already know the slope is -0.02, we just need to determine the y-intercept. In this case, the y-intercept is the altitude when the distance is 0, which is given as 100 feet.

Therefore, the equation of the line that follows the path of the airplane's descent is:

y = -0.02x + 100