Question

Sarah is saving money for a new bicycle. She currently has $50 saved and plans to save $8 per week from her allowance. After how many weeks will she have saved enough money to buy a bicycle that costs $210?(1 point)

Answer 1

Which of the following points is a possible solution to the inequality 2x−3y<6
?

Select all that would work.

(2 points)
Responses

(6,2)

(0,0)

(4,5)

(1,2)

Answer 2

To figure out how many weeks Sarah needs to save, you need to subtract her current savings of $50 from her goal amount of $210.

$210 - $50 = $<<210-50=160>>160

Then, divide the $160 remaining by the amount Sarah saves each week, $8.

$160 ÷ $8 = <<160/8=20>>20

Therefore, it will take Sarah 20 weeks to save enough money to buy a bicycle. Answer: \boxed{20}.

Answer 3

To determine which points satisfy the inequality 2x - 3y < 6, substitute each point into the inequality and see if the inequality is true for each point.

Substituting (6,2):
2(6) - 3(2) < 6
12 - 6 < 6
6 < 6

Substituting (0,0):
2(0) - 3(0) < 6
0 - 0 < 6
0 < 6

Substituting (4,5):
2(4) - 3(5) < 6
8 - 15 < 6
-7 < 6

Substituting (1,2):
2(1) - 3(2) < 6
2 - 6 < 6
-4 < 6

From the calculations, we can see that (4,5) and (1,2) are the points that satisfy the inequality. Therefore, the points (4,5) and (1,2) are possible solutions to the inequality. Answer: \boxed{(4,5) \text{ and } (1,2)}.