ou start a new workout program over the weekend and try out some different short sessions. You obtain the results summarized in the graph shown. How many calories does this workout program burn per minute? (1 point) Responses 20 minutes 20 minutes 160 calories 160 calories 8 calories/minute 8 calories/minute 0.125 minutes/calorie
To calculate the calories burned per minute, divide the total calories burned (160 calories) by the total time in minutes (20 minutes):
160 calories / 20 minutes = 8 calories/minute
Therefore, this workout program burns 8 calories per minute.
One day you decide to get stronger by doing pushups. You start by doing 5 pushups on the first day. Then you increase it to 10 on the second day. Then 15 on the next day, and you continue this pattern for a week. Write an equation that relates the number of pushups y to the number of days x during the week.(1 point) Responses y=5x y equals 5 x x+y=5 x plus y equals 5 x=5y x equals 5 y x−y=5
The equation that relates the number of pushups (y) to the number of days (x) during the week is:
y = 5x
The amount of total force F that is applied to an object is proportional to the rate at which the object changes its speed, or acceleration a . That is, the greater the force, the greater the acceleration for the same object. The constant of proportionality is how heavy the object is, its mass m . The heavier the object, the lower the acceleration for the same force. Write an equation that relates these three quantities in a proportional relationship.(1 point) Responses F=ma upper F equals Start Fraction m over a End Fraction a=mF a equals Start Fraction m over upper F End Fraction a=Fm a equals upper F m F=ma upper F equals m a
The equation that relates the three quantities in a proportional relationship is:
F = ma
Which of the following proportional linear equations has a graph with a slope different from the others?(1 point) Responses a proportional linear equation that contains the point (20,8) a proportional linear equation that contains the point left parenthesis 20 comma 8 right parenthesis a proportional linear equation that contains the point (−2,−5) a proportional linear equation that contains the point left parenthesis negative 2 comma negative 5 right parenthesis a proportional linear equation that contains the point (4,10) a proportional linear equation that contains the point left parenthesis 4 comma 10 right parenthesis a proportional linear equation that contains the point (−1,−2.5) a proportional linear equation that contains the point left parenthesis negative 1 comma negative 2.5 right parenthesis
In a proportional linear equation, the slope represents the proportionality constant. Therefore, the equation with a different slope will have a different proportionality constant.
Looking at the given points, we can determine which equation has a different slope:
- For the point (20,8), the equation is y = mx, where m is the slope.
- For the point (-2,-5), the equation is y = mx.
- For the point (4,10), the equation is y = mx.
- For the point (-1,-2.5), the equation is y = mx.
Based on the information given, all the equations have the same form, y = mx, indicating the same slope and proportionality constant. Therefore, no equation has a different slope.
choose one.,
If we consider only one equation, the equation that has a graph with a slope different from the others is:
a proportional linear equation that contains the point (-2,-5)
Determine the y -intercept, b , of the additive relationship y=x−1 . Write the y -intercept as an ordered pair. Is option 1 or 2 correct? Option 1: The y -intercept is −1 and is represented by the ordered pair (−1,0) . Option 2: The y -intercept is −1 and is represented by the ordered pair (0,−1) . (1 point)
Option [ ]