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

Instructions: Write the function in slope-intercept form that represents the given.The roasting guide for a turkey suggests cooking for 100100 minutes plus an additional 88 minutes per pound (x𝑥). Write the equation for total cooking time in terms of pounds of turkey.y=𝑦= Answer 1 Question 9

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.

To solve this problem, we need to translate the given information into a system of inequalities and then graph the solution on the coordinate plane provided. Laura exercises for at least 9 hours each week. This means the total time spent on cardiovascular work (x) and weight training (y) must be greater than or equal to 9 hours: \[ x + y \geq 9 \] She spends at most 12 hours doing cardiovascular work, which means: \[ x \leq 12 \] She spends at most 5 hours on weight training, which means: \[ y \leq 5 \] Now, let's graph these inequalities: 1. For \( x + y \geq 9 \), we draw a line where \( x + y = 9 \). We can find two points by setting \( x \) and \( y \) to 0: If \( x = 0 \): \[ 0 + y = 9 \] \[ y = 9 \] So one point is (0, 9). If \( y = 0 \): \[ x + 0 = 9 \] \[ x = 9 \] So another point is (9, 0). Draw a solid line through these points since the inequality includes the equal sign (\( \geq \)). The region above and to the right of this line will be shaded because it represents the values where \( x + y \) is greater than or equal to 9. 2. For \( x \leq 12 \), draw a solid vertical line at \( x = 12 \) and shade to the left, as all values of \( x \) must be less than or equal to 12. 3. For \( y \leq 5 \), draw a solid horizontal line at \( y = 5 \) and shade below, as all values of \( y \) must be less than or equal to 5. The solution to the system of inequalities is the region where all shaded areas overlap. This region will be a polygonal shape on the graph, bounded by the lines \( x + y = 9 \), \( x = 12 \), and \( y = 5 \). The vertices of this polygon will be at the points where these lines intersect, which are (12, 0), (4, 5), and (0, 5). Since I cannot physically shade the region on the image you provided, you would shade the region on your graph paper that is to the left of \( x = 12 \), below \( y = 5 \), and above and to the right of the line \( x + y = 9 \). This shaded region represents all possible combinations of hours Laura can spend on cardiovascular work and weight training that satisfy the given conditions.

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.$1.60 / lb.$0.31 / lb.$0.18 / lb.$5.64 / lb.

To solve this problem, we need to translate the given information into a system of inequalities and then graph the solution on the coordinate plane provided. Debra exercises for at least 5 hours each week. This means the total time spent on cardiovascular work (x) and weight training (y) must be greater than or equal to 5 hours: \[ x + y \geq 5 \] She spends at most 3 hours doing cardiovascular work, which means: \[ x \leq 3 \] She spends at most 9 hours on weight training, which means: \[ y \leq 9 \] Now, let's graph these inequalities: 1. For \( x + y \geq 5 \), we draw a line where \( x + y = 5 \). We can find two points by setting \( x \) and \( y \) to 0: If \( x = 0 \): \[ 0 + y = 5 \] \[ y = 5 \] So one point is (0, 5). If \( y = 0 \): \[ x + 0 = 5 \] \[ x = 5 \] So another point is (5, 0). Draw a solid line through these points since the inequality includes the equal sign (\( \geq \)). The region above and to the right of this line will be shaded because it represents the values where \( x + y \) is greater than or equal to 5. 2. For \( x \leq 3 \), draw a solid vertical line at \( x = 3 \) and shade to the left, as all values of \( x \) must be less than or equal to 3. 3. For \( y \leq 9 \), draw a solid horizontal line at \( y = 9 \) and shade below, as all values of \( y \) must be less than or equal to 9. The solution to the system of inequalities is the region where all shaded areas overlap. This region will be a polygonal shape on the graph, bounded by the lines \( x + y = 5 \), \( x = 3 \), and \( y = 9 \). The vertices of this polygon will be at the points where these lines intersect, which are (3, 2) and where each of the lines intersects the axes at (3, 0) and (0, 9). Since I cannot physically shade the region on the image you provided, you would shade the region on your graph paper that is to the left of \( x = 3 \), below \( y = 9 \), and above and to the right of the line \( x + y = 5 \). This shaded region represents all possible combinations of hours Debra can spend on cardiovascular work and weight training that satisfy the given conditions.