You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.
but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:
"the venue will cost $1500 to rent for an evening"
"$25 per person"
so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.
$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"
with that information, write any other equation you would for a word problem:
y = 25x + 1500
that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.
and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.
y = 25x + 1500
when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)
when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)
when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)
i hope that helped!!
The hypothesis test analyzes the null and alternative hypothesis of the
plausibility of a correlation between the SAT scores and GPA.
- The hypothesis test that would be appropriate is <u>a hypothesis test that checks that the slope of the regression line is not zero</u>.
Reasons:
The data collected by the professor = The scores of the college students
The type of scores collected = SAT scores, and GPA scores
The test that would be appropriate for the example, is the test for the
existence of a significant linear relationship between the input variable
(the SAT scores) and the output variable (the GPA)
The test is known as <u>the test for the slope of the regression line</u>
The equation of the regression line is; Y = B₀ + B₁·X
Where;
Y = The value of the GPA score (The dependent variable)
X = The value of the SAT score (The independent variable)
The test aims to check that the value the slope of the regression line is
much different from zero, such that there exist a correlation.
Learn more about hypothesis test for linear regression here:
brainly.com/question/13938204
Answer:
i can help
Step-by-step explanation:
Answer:
3 percent
Step-by-step explanation:
convert to seconds
960 seconds to 930 seconds
30 seconds ÷ 960=3 per cent
23) Store A: y=6.30÷2
y=3.15
Store B: y=3.2
Store C: y=3.25x
y=3.25 so Store A sells the cheapest so (A) is the answer
24) the area uses half of the diameter, not the whole diameter. so the answer is 5.5pi^2 (B)
25) 1/2 × 1/2 = 1/4 × 1/2 = 1/8 (D)
26) was done correctly and (D) is the correct answer
27) 2 (x-3) +1 =19
2 (x-3) = 19 - 1
(x-3) = 18 ÷ 2
x-3 = 9
x= 9+3
x=12 (D)
