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 answer is (2,0)
Explanation
So I’m gonna use substitution to help me solve this problem. I’m gonna solve for x.
X-y=2
+y. +y
X= y + 2
Now that we have solved for x we are going to plug it into the first equation!
Shown like this
Y+2 - 10y = 2
Then we solve it as a normal problem
So first we combine light terms
-9y+2=2
Then we isolate the variable
-9y+2=2
-2. -2
-9y = 0
Then we divide by -9 on both sides
-9y /-9 = 0 / -9
Y = 0
Now that we solved for y we plug it into one the equations to get the x value!
X - 0 = 2
X=2
The solution is (2,0)
I hope this helped you! Pls mark as brainliest
Answer:
m = 12h
Step-by-step explanation:
Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.
So that;
m = 12h
Thus if Bill works for 6 hours, his amount of money would be;
m = 12 (6)
= 72
m = $72
Bill would make $72 after working for 6 hours.
