Please help my answer is c, is this right!
1 answer:
I'm not sure how you got c but the way you would solve this is for every x on the line plot you would add that amount. You don't need to worry about 0 because 0 is nothing.
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
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Answer:
Part 1) The number of classes must be greater than 20
Part 2) see the explanation
Part 3)
Part 4)
Part 5) The equation that can be used is and the cost of one print is
Part 6) The number of classes must be greater than 30
Step-by-step explanation:
Part 1) we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
Let
y ----> the total cost
x ----> the number of classes
we have
<em>Members</em>
The slope is
The y-intercept is
so
----> equation A
<em>Non-Members</em>
The slope is
so
----> equation B
To find out how many classes would a member have to take to save money compared to taking classes as a non-member, solve the following inequality
Solve for x
subtract 10 x both sides
Divide by 5 both sides
Rewrite
therefore
The number of classes must be greater than 20
Part 2) we have
The sum of 8 and 3 times a number is 23.
Let
x ----> the number
Remember that
3 times a number is the same that multiply 3 by the number ----> 3x
so
The sum of 8 and 3 times a number is 23 is the same that
solve for x
subtract 8 both sides
Divide by 3 both sides
Part 3) we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
Let
y ----> the total cost of renting a car for one day
x ----> the number of miles
we have
The slope is
The y-intercept is
so
For x=78 miles
substitute in the linear equation and solve for y
Part 4) Let
x ----> Alice's normal hourly rate
we know that
40 hours multiplied by her normal hourly rate plus 10 hours (50 h-40 h) multiplied by 1.5 times her normal hourly rate must be equal to $660
so
The linear equation that represent this situation is
solve for x
Divide by 55 both sides
Part 5) Let
x ----> the cost of one print
we know that
The cost of one print multiplied by 27 prints must be equal to $242.73
so
The linear equation is equal to
solve for x
Divide by 27 both sides
Part 6) we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
Let
y ----> the total cost
x ----> the number of classes
we have
<em>Members</em>
The slope is
The y-intercept is
so
----> equation A
<em>Non-Members</em>
The slope is
so
----> equation B
To find out how many classes would a member have to take to save money compared to taking classes as a non-member, solve the following inequality
Solve for x
subtract 7x both sides
Divide by 4 both sides
Rewrite
therefore
The number of classes must be greater than 30