Robert is on a diet to lose weight before his Spring Break trip to the Bahamas.  He is losing weight at a rate of 2 pounds per week.  After 6 weeks, he weighs 205 pounds.  Write and solve a linear equation to model this situation.

Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?Responsesf(t)=0.5t+11f of t is equal to 0 point 5 t plus 11 - no response givenf(t)=0.5t+7f of t is equal to 0 point 5 t plus 7 - no response givenf(t)=1.5t+5f of t is equal to 1 point 5 t plus 5 - no response givenf(t)=1.5t+12.5

A fitness trainer wants to determine if there is a linear relationship between the number of weeks a person attends a fitness class and the percentage of body fat they lose. He gathers data from 12 participants and records the number of weeks they attended the class and the percentage of body fat they lost. The data is as follows (in chronological order):Number of Weeks Attended: 2, 3, 4, 3, 5, 4, 2, 6, 5, 3, 4, 6Percentage of Body Fat Lost: 1.5, 2.2, 3.1, 2.8, 4.0, 3.3, 1.8, 4.5, 3.9, 2.7, 3.2, 4.8Using Microsoft Excel at 0.05 level of significance, calculate the correlation coefficient to determine the strength and direction of the linear relationship between the number of weeks attended and the percentage of body fat lost. Also, conduct a linear regression analysis to predict the percentage of body fat lost based on the number of weeks attended.

The veterinarian told Sally that her cat needs to lose 5 pounds. A healthy weightloss for her cat would be about 1 pound every 2 weeks. To model this situation, shegraphed the following line, where y represents the number of pounds left to lose and x represents time inweeks.The unit rate is _______12 _______− 12 pound per week.Because the number of pounds left for the cat to losedecreases each week, the rate is ________________.The y-intercept is ____.The equation for this line is y = x +________ ________.If she continues the line, she would see that it wouldtake ____ weeks for her cat to lose 5 pounds

In a boat, 25 persons were sitting. Their average weight increased by one kilogram when one man leaves and a new man comes in. The weight of the new man is 70 kgs. Find the Weight of the man who has left.

The supply and demand linear models of T-shirts for sale at a concert are represented by the following system of equations, where x is the quantity and y is the price:𝑦=150𝑥+4y= 501​ x+4𝑦=−125𝑥+40y= 25−1​ x+40Find the solution to the system