the fruit market buys orange in boxes of 48 and apples in boxesof 36 they sold 1/3 of box orange and 1/9 of a box of appled how
2 answers:
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<h2>Answer:</h2>
y = x + 3
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m =
m =
m =
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = into equation (ii) as follows;
y - 3 = (x - 0)
(iv) Solve for y from (iii)
y - 3 = x
y = x + 3 [This is the slope intercept form of the line]
Where the slope is and the intercept is 3
Answer:
Step-by-step explanation:
Let r represent Linda's walking rate.
We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be miles per hour.
We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.
Since both times are equal, so we will get:
Therefore, the equation can be used to solve the rates for given problem.
Cross multiply:
Therefore, Linda's walking at a rate of 3 miles per hour.
Linda's bike riding rate would be miles per hour.
Therefore, Linda's riding the bike at a rate of 12 miles per hour.