MATHEMATICS HIGH SCHOOL

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?Antonio’s Distance Past the Landmark
Time (seconds)
8
12
16
20
24
Distance (meters)
29
41
53
65
77

A graph titled Candice's Distance Past the Landmark has time (seconds) on the x-axis, and Distance (meters) on the y-axis. A line goes through points (5, 22), (10, 42), (15, 62) and (20, 82).

Answers

Answer 1

Answer:

Antonio had a head start of 3 meters.

We have

Antonio’s Distance Past the Landmark

Time (seconds) 8 12 16 20 24

Distance (meters) 29 41 53 65 77

Change in distance = 12 m

Change in time = 4 seconds

Slope = 12/4 = 3 m/ sec

So, equation of line y = 3x +5

Also a graph titled Candice's Distance Past the Landmark has time (seconds) on the x-axis, and Distance (meters) on the y-axis.

And a line goes through points:

(5, 22), (10, 42), (15, 62) and (20, 82).

Change in distance = 42-20 = 20 m

Change in time = 10-5 = 5 seconds

Slope = 20/5 = 4 m/ sec

So, equation of line y = 4x + 2

Taking the difference

5-2=3

Therefore, Antonio had a head start of 3 meters.

Learn more:brainly.com/question/9275672

Answer 2

Answer:

Answer:

Antonio had a head start of 3 meters.

Step-by-step explanation:

I took the test on Edge and got it correct.

(Sorry, this is late and you probably don't need it anymore.)

Related Questions

If f(x) = 3x2 – 4 and g(x) = 2x – 6, what is g(f(2))?O-16o -2O 80 10
Estimate the average annual growth rate of the world population for 1950, 1988, and 2010 using model 17 from the previous page.Model 17. Year Population Growth Rate (%)1972 1.961982 1.731992 1.52002 1.22
Give an example of a relation that is NOT a function and explain why it is not a function.I do not understand how to do this...please help its algebra.
A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?
Write the following in point-slope form, slope-intercept form, and standard form. (-2,9) m= -1

Which of the following is a function equivalent to f(x) = 3(1.7)4x? A f(x) = 25.06x
B f(x) = 3(8.35)x
C f(x) = 3(8.25x)
D f(x) = 487.97x

Answers

If you would like to find a function which is equivalent to f(x) = 3(1.7)4x, you can do this using the following steps:

f(x) = 3(1.7)4x = 3(1.7)^(4x) = 3(1.7^4)^x = 3(8.35)^x = 3(8.35)x

The correct result would be B f(x) = 3(8.35)x.

Answer:

Option B- $f(x)=3(8.35^x)$

Step-by-step explanation:

Given function: $f(x)=3(1.7)^(4x)$

Simplifying the function :

Step 1: Write the expression

$f(x)=3(1.7)^(4x)$

Step 2: Apply exponent rule ( $a^(mn)=(a^m)^n$ )

$f(x)=3(1.7^4)^x$

Step 3: Solve

$f(x)=3(8.35^x)$

Therefore, Option B is correct $f(x)=3(8.35^x)$

If three times a number minus 2 equals 13, what is the number?

Answers

Change the messy words into numerals
3 times a number minus 2    equals    13
3 × n - 2 = 13

3n - 2 = 13
take 2 to the other side
3n - 2 + (2) = 13 + (2)
3n = 15

Divide by 3 on either sides to isolate n
$(3n)/(3)$ = $(15)/(3)$
3 and 3 cancels out

n = 5

check:
3 times 5 minus 2 equals 13
3   × 5 - 2 = 13
15 - 2 = 13
13 =    13

The number is 5

Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?…, 1, 1/2, 1/4, 1/8, …

…, 1/4, 1/2, 1, 2,…

…, 1/72, 1/36,1/18, 1/9, …

…, 8, 4, 2, 1, …

Answers

the answer is 0.5. Because you have to half 1

In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, how many light colors are there?

Answers

5x4=20 so 8x4=32 32 light colors in the box

If we write this as a ratio then it would be 5:8. Now since there are 20 dark colors and also 5, what do 5 and 20 have in common... 5 times 4 is 20 so since we multiplied by 4 on dark colors do the same to the light colors so 8 times 4 = 32. So the answer is 32 light colors

NOT A MULTIPLE CHOICE QUESTION, I NEED AN ANSWER FOR ALL!!!I. The Bread Machine (25 points)
In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider: quality of homemade vs. bought, expense, convenience, enjoyment of making something, etc. In this response, you will be looking at the choice of buying a bread machine or relying exclusively on store bought bread.

A. The bread machine you are interested in costs $100 with tax.
The ingredients to make one loaf of bread cost $0.80.
What is the rate of cost of one loaf of bread?

B. What is your start up cost? (cost of machine)

C. Write a linear equation, y = mx + b for the total cost.

D. Graph the equation on the graph provided. You may use either Point Plotting or Slope-Intercept. Be sure to locate at least 3 points. You may want to do this in pencil in case you decide to use more points later in the problem.

Answers

1. The decision you're looking at is buying a bread machine and the ingredients to make bread vs buying bread at the store.

B. What is your start up cost (cost of machine)?
$100

C. Write a linear equation for the total cost in form, y = mx + b.
Total cost is the cumulative cost for all loaves of bread since the machine was purchased.
You have the start-up cost plus the cost of each additional loaf of bread, so the total cost (Y) is:
Y = $100 + $0.80*x
where x is the number of loaves of bread.

D. Graph the equation on the graph provided.

If (-3, y) lies on the graph of y = 3x, then y =