Jasmine wants to lose weight for an upcoming wedding. she currently weighs 186 pounds and her goal is to weigh 140 pounds. after consulting with her doctor, she feels she can safely lose 2 pounds per week. the graph tracks the projected weight loss over time.

write an equation for the weight loss trend. use w = weight (lb) and t = time (weeks).

how long will it take jasmine to achieve her desired weight goal.
weeks

what is the slope

Equation is W = -2t+186

It will take 23 weeks to achieve the goal.

Slope = -2 pounds per week

Step-by-step explanation:

Here  current Weight  is 186 pounds

and her goal is to weigh 140 pounds

she can safely lose 2 pounds per week which is the slope

for t =0 , W =186 pounds  (Y intercept )

    slope = 2 pounds per week

since its decreasing therefore its negative

W = -2t+186 is the equation

To achieve the desired goal W = 140

plugging W = 140 and solving for t

140 = -2t+186

2t = 186-140

2t = 46

t = 23

It will take 23 weeks to achieve the goal.

Slope = -2 pounds per week

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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