Can someone please help me on this? The swimming team is ordering shirts. The cost (y) in dollars of (x) shirts is calculated by using the rule y=20x+40. a) Ide
Mathematics
Cocoalou
Question
Can someone please help me on this?
The swimming team is ordering shirts. The cost (y) in dollars of (x) shirts is calculated by using the rule y=20x+40.
a) Identify the slope and yintercept
slope:
Meaning:
b) how much will 15 sweatshirts cost?
c) If the bill was $1,000, how many shirts were ordered?
2) Write a rule in slopeintercept form for the linear function that has (1,5) and (4, 11)
3 Y=8x25
y=6x5
Solve the system of equations above
5.)which region indicates the intersection of the system 3x+4y>8 and 2x+4y>12
6) Write and solve a system of equations to the following.
Two times Antonio;s age plus Sara's age equals 35. Sarah's age is also 5 times Antonio's age. How old is Sarah?
The swimming team is ordering shirts. The cost (y) in dollars of (x) shirts is calculated by using the rule y=20x+40.
a) Identify the slope and yintercept
slope:
Meaning:
b) how much will 15 sweatshirts cost?
c) If the bill was $1,000, how many shirts were ordered?
2) Write a rule in slopeintercept form for the linear function that has (1,5) and (4, 11)
3 Y=8x25
y=6x5
Solve the system of equations above
5.)which region indicates the intersection of the system 3x+4y>8 and 2x+4y>12
6) Write and solve a system of equations to the following.
Two times Antonio;s age plus Sara's age equals 35. Sarah's age is also 5 times Antonio's age. How old is Sarah?
1 Answer

1. User Answers racheltabby11
1)
a. y=mx+b
m=slope
b=yintercept
y=20x+40
The slope is 20.
The yintercept is 40.
b. y =cost
x= # of shirts
y=20x+40
15 sweatshirts would make the equation y=20(15)+40
y=300+40
y=340
15 shirts would cost $340.
c. y=20x+40
$1000 would make the equation 1000=20x+40
1960=20x
98=x
Paying $1000 would get the swim team 98 shirts.
2)
(1,5) (4,11)
(x,y) (x1, y1)
y+y1=m(x+x1)
Pick a point and substitute it into the equation.
y+5=m(x+1)
To find the slope of a line, use the following equatIon:
yy1/xx1
115/41
6/3=2
The slope of the line is 2. Plug it into the equation for m.
y+5=2(x+1)
Solve the equation.
y+5=2x+2
y+3=2x
Put the equation in slopeintercept form.
y=2x3
3)
y=x25
y=6x5
Plug one equation into the other.
x+25=6x5
Solve.
x+30=6x
30=5x
6=x
Now plug 6 into one of the equations.
y=6x5
y=6(6)5
y=365
y=31
The answer should be in the form of a point.
(6,31)
5) I'm sorry, don't know how to solve this. You can Google how to graph two inequalities, though.
6)
Antonio's age can be represented by x.
Sarah's age can be represented by y.
2x+y=35
5x=y
Plug 5x into the first equation.
2x+5x=35
Solve.
7x=35
x=5
Antonio is 5 years old.
To find Sarah's age, plug Antonio's age into the equation for Sarah's age.
5x=y
5(5)=y
25=y
Sarah is 25 years old.