Jaden is saving money to buy a bike that costs $290. He has saved $140 so far. He plans on saving $25 each week. Write and solve an equation to determine in how many weeks (identify the question) Jaden will have enough money to buy the bike. What does the variable in question 4a represent?

25w+140=290

He will have enough money in 6 weeks

w represents the amount of weeks

Step-by-step explanation:

25w+140=290

$25 every week + the original $140 = the total needed $290

140 + 25w = 290

w = 6

Step-by-step explanation:

Goal: $290

Currently have $140

Saving $25 each week (variable)

Start with your given amounts :

(base) 140 + 25w (variable solving for) = 290 (goal you want equation to equal)

w stands for the amount of weeks for the goal to be reached

Solve:

140 + 25w = 290

subtract 140

25w = 150

divide 25

w=6

Double check (optional but suggested)

140 + 25 (6) = 290

140 + 150 = 290

290 = 290

correct

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b