Kate had 50 tickets to use for rides at the fair. she lost some of them. her dad doubled the tickets she had left. kate wrote the expression 2(50−t) to find the number of tickets she has now, where t is the number of tickets she lost. jack correctly wrote another expression, 100−2t , to find the number of tickets kate has now. use the drop-down menus to explain what each part of kate's and jack's expressions mean. kate's expression: 2(50−t) 2: 50: t: 50−t: jack's expression: 100−2t 100: t: 2t: 100−2t: thats what i need answered

Kate's Expression: 2(50−t)

2: doubling of tickets remained.

50: total tickets in the beginning

t : the number of tickets Kate had lost

50-t: the number of tickets she had left after that

Jack's expression:  100−2t

100:  twice the tickets in the beginning

t:  the number of tickets Kate had lost

2t:  twice the tickets lost

100−2t:the number of tickets Kate has now

Step-by-step explanation:

Le 't' be the number of tickets Kate had lost.

Total tickets in the beginning =50

Then the number of tickets she had left after that = 50-t

After her dad doubled the tickets , the total tickets she has now =2(50-t)

Here 2 represents the doubling of tickets remained.

Jack just use distributive property to it and multiply 2 to 50 and t individually.

He got the number of tickets Kate has now = 100-2t

It must have the same slope as the given line, so

m = -A/B = -1/-2 = 1/2

So far, we have

y = mx + b = x/2 + b

Use the given point to find b.

4 = -2/2 + b = -1 + b

b = 5

y = x/2 + 5

Multiply through by 2.

2y = x + 10

Standard form:

x - 2y = -10