Question
Matt solved 90 problems in 6 hours, then the slope of the linear equation is
- 540
- 15
- 96
- 84
Hint:
Constant of proportionality is the same as the slope of a straight line passing through the origin. Using the formula m= we can find the value of slope or constant of proportionality. Here, we have to find the constant of proportionality of the given linear equation using the given information in the question.
The correct answer is: 15
In the question it is given that Matt solved 90 problems in 6 hours.
We have to find the slope of the linear equation.
Here, x= time in hours and y= number of problems
So, x= 6 and y= 90.
Slope=m= ....................(1)
Put the value of x and y in eq. 1.
Thus, the slope of the linear equation is 15.
Therefore, the correct option is b, i.e., 15.
Related Questions to study
If the line that joins (a, 8) and (-1, 5) is 2y = 3x + 13, then the value of a is
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept. The points should satisfy this equation.
If the line that joins (a, 8) and (-1, 5) is 2y = 3x + 13, then the value of a is
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept. The points should satisfy this equation.
Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula , where m is the slope of the line, are the coordinates of the two points.
Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula , where m is the slope of the line, are the coordinates of the two points.
The sum of slopes of the line equations y = 7x + 5 & y = 2x is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The sum of slopes of the line equations y = 7x + 5 & y = 2x is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The largest slope among the following equations is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The largest slope among the following equations is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The line equation joining (1, 3) & (5, 7) is
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept.
The line equation joining (1, 3) & (5, 7) is
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept.
The slope of the line in the graph is
Distance- time graph is a graph which shows the distanced travelled by an object in an given time where x- axis is time and y- axis is distance. For this question we need to understand the given graph.
The slope of the line in the graph is
Distance- time graph is a graph which shows the distanced travelled by an object in an given time where x- axis is time and y- axis is distance. For this question we need to understand the given graph.
The value of “a”, if the slope between the points (a, 1) & (7, 2) is 2.
Intercept is a point on y- axis from which the slope of the line passes. This can be determined by putting the value of m, x and y in y=mx+c.
The value of “a”, if the slope between the points (a, 1) & (7, 2) is 2.
Intercept is a point on y- axis from which the slope of the line passes. This can be determined by putting the value of m, x and y in y=mx+c.
If 6 ft long ribbon cost $30, 15 ft long costs $75, then the difference between the constant of proportionality and slope of the line = x + 1 is
If 6 ft long ribbon cost $30, 15 ft long costs $75, then the difference between the constant of proportionality and slope of the line = x + 1 is
The cost of 5 pizzas is $20, the slope of the equation is
The cost of 5 pizzas is $20, the slope of the equation is
The slope of the line 2y = 3x + 6 is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The slope of the line 2y = 3x + 6 is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
In making a road the engineer decided to keep the slope as 0.1. Treating the initial point of the road as (0, 0), then the point that lies on the road among the following is
In making a road the engineer decided to keep the slope as 0.1. Treating the initial point of the road as (0, 0), then the point that lies on the road among the following is
Jacob drove 184 miles in 4 hours, form a linear equation for the proportional relation, then the slope of the linear equation is
Jacob drove 184 miles in 4 hours, form a linear equation for the proportional relation, then the slope of the linear equation is
The Graph represents the relation between distance & time by Jack. The distance Jack cycled in a minute is
Distance- time graph is a graph which shows the distanced travelled by an object in an given time. For this question we need to understand the given graph.
The Graph represents the relation between distance & time by Jack. The distance Jack cycled in a minute is
Distance- time graph is a graph which shows the distanced travelled by an object in an given time. For this question we need to understand the given graph.
The cost of 1 Burger is $3.0, form a linear equation for the proportional relationship, then the slope of the linear equation is
The cost of 1 Burger is $3.0, form a linear equation for the proportional relationship, then the slope of the linear equation is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.