Question

Get-A-Move-On moving company charges $40 for the day plus $0.80 per mile to rent a small moving truck. Truckin' It moving company charges $50 for the day plus $0.50 per mile. Complete the tables for the system of linear equations where m is the number of miles and c is the total cost.

Answer 1

Get-A-Move-On: $66, $82, $98; Truckin' It: $45, $60, $75

Get-A-Move-On: $50, $60, $70; Truckin' It: $58, $82, $106

Get-A-Move-On: $60, $70, $80; Truckin' It: $48, $72, $96

Get-A-Move-On: $56, $72, $88; Truckin' It: $55, $70, $85

Answer 2

See as per the details given above..Following equation can be modelled:

Total cost c = $40 + m($0.80) - (I)
(if you are asked to incorporate day also in the eq then:

c = $40d + m(0.80)

SO for the first table:

Given c = $40 +m(0.80)

m= 20
c = 40 + m(0.80) = 56

2.) m= 40
c = 40 + m(0.80) = 72



3.)m = 60
c = 40 + m(0.80) = $88

ANd FOr the second table

Given c = $50 + m(0.50)

1.)m = 10
c = 50 + m(0.50) = $55

2.)m = 40
c = 50 + m(0.50) = $70

3.)m = 70
c = 50 +m(0.50) = $85

SO the answers is choice D:

Get-A-Move-On: $56, $72, $88; Truckin' It: $55, $70, $85

Answer 3

@aseiejrfmdks

Answer 4

ok

Answer 5

thank u soooo much really appreciate the help

Answer 6

I have some more do u mind helping me

Answer 7

nvr mention bro

Answer 8

i don't understand what does that mean what are u trying to say

Answer 9

nvr = never

Answer 10

ok so would u help me on some more

Answer 11

ask your question

Answer 12

oh ok sorry

Answer 13

Parker earned $36 by selling 35 glasses of fresh-squeezed lemonade at his lemonade stand on a Saturday morning. He charged $1.00 for a small glass and $1.50 for a large glass. Use a model to determine how many large glasses he sold.

2

4

6

8

Answer 14

S + L = 35 ---> S = 35 - L
S + 1.5L = 36

35 - L + 1.5L = 36
35 - 1L + 1.5L = 36
-1L + 1.5L = 36 - 35
.5L = 1
L = 1/0.5
L = 2

S + L = 35
S + 2 = 35
S = 35 - 2
S = 33

check..
S + 1.5L = 36
33 + 1.5(2) = 36
33 + 3 = 36
36 = 36 (correct)

sold 2 large glasses

Answer 15

I could have just stopped when I found L (the large glasses), but I went ahead and found both just to check them

Answer 16

are we cool...do you understand what I did ?

Answer 17

kinda could u do another example plz

Answer 18

example ?? That was the answer to your question, not an example. All I did was solve by substitution.

there was a total of 35 glasses sold.....small and large
S + L = 35

$1 for small and 1.50 for large totaling $36
S + 1.5L = 36

since we are looking for L, change the first equation to : S = 35 - L

and I just subbed 35 - L in for S into the second equation

any questions ?

Answer 19

ok noooo

Answer 20

ihave more question could u help me

Answer 21

ok...another example

T = tee shirts
P = pants

there was a total of 14 items bought (both tee shirts and pants)
T + P = 14

tee shirts cost $ 2 and pants cost 6 dollars totaling $30
2T + 6P = 30

find out how many tee shirts were bought

since we are looking for tee shirts. change first equation to :
P = 14 - T
now sub 14 - T in for P in the 2nd equation

2T + 6P = 30
2T + 6(14 - T) = 30 -- distribute through parenthesis
2T + 84 - 6T = 30 -- subtract 84 from both sides
2T - 6T = 30 - 84 -- combine like terms
-4T = - 54
T = -54/-4
T = 13.50......you obviously can't buy 13.5 tee shirts, but I am not gonna go change the numbers to make the answer even.

Do you understand ?

Answer 22

sorry there is some thing wrong with my paste button

Answer 23

sorry...I got carried away

Answer 24

one sec

Answer 25

After the softball game, Alise's coach bought each of the 15 players a double-scoop or triple-scoop ice cream cone at the local ice cream shop. The coach bought a total of 41 scoops of ice cream. Use a model to determine how many girls got a triple-scoop ice cream cone.

9

10

11

12

Answer 26

coach bought 15 players ice cream, both double (D) and triple (T)
D + T = 15

double scoops + triple scoops totaling 41 scoops
2D + 3T = 41

we are looking for triple scoop (T), so change the first equation to : D = 15 - T
now sub 15 - T in for D in the 2nd equation

2D + 3T = 41
2(15 - T) + 3T = 41 --- distribute through parenthesis
30 - 2T + 3T = 41 -- subtract 30 from both sides
-2T + 3T = 41 - 30 -- combine like terms
T = 11

and if you wanted to solve for double scoops (D), sub in 11 for T in the first equation
D + T = 15
D + 11 = 15
D = 15 - 11
D = 4

and now you can check your answers
2D + 3T = 41
2(4) + 3(11) = 41
8 + 33 = 41
41 = 41 (correct)

so triple scoops (T) is 11 and double scoops (D) is 4