The y-intercept of the first question is 1 and it represents the number of minutes they stretch when they don't jog.
#4) y=1/2x + 1
#5) 10 cakes, because y=9/10x+1
Explanation
For the first question: The y-intercept is easily picked from the two points that define the line. (0, 1) would have to be on the y-axis, because when we plot it, the x-coordinate is 0. This means it is the y-intercept of the line.
#4) Finding the slope of the line, we use the formula
m=(y₂-y₁)/(x₂-x₁) = (3-1)/(4-0) = 2/4 = 1/2
The y-intercept is at (0, 1), using the same justification as the first question.
This gives us the equation y = 1/2x + 1.
#5) First we find the equation of the line. To do this, find the slope:
m=(y₂-y₁)/(x₂-x₁) = (10-1)/(10-0) = 9/10
The y-intercept is at (0, 1). This makes our equation y=9/10x + 1.
Using 10 as x (x represents the number of weeks) we have
y=9/10(10) + 1
y=9/10(10/1) + 1
y=90/10 + 1
y=9+1 = 10
Answer:
Step-by-step explanation:
so she earns 9.75% commission on each mattress
turn ur percent to a decimal....and multiply that by the cost of the mattress and that will give u her commission.
0.0975(2400) + 0.0975(3200) + 0.0975(1900) + 0.0975(800) =
234 + 312 + 185.25 + 175.50 =
906.75 <=== her total commission
Answer: R = 37.5 miles per gallon.
Step-by-step explanation:
Sandras truck need one gallon to drive 25 miles, then the rate of Sandra's truck is 25 miles per gallon.
Her sister's car can travel 12.5 more miles with one gallon, so the car travels
25mi + 12.5mi = 37.5 miles with one gallon, the rate is
R = 37.5 miles per gallon.
Now, with that number you can multiply the amount of gallons that you have and you will obtain the total amount of miles that you can travel with that amount of gallons.
Answer:
x = 25
Step-by-step explanation:
<em>Step 1: Identify the similar triangles</em>
Triangle DQC and triangle DBR are similar
<em>Step 2: Identify the parallel lines</em>
QC is parallel to BR
<em>Step 3: Find x</em>
DQ/QB = DC/CR
40/24 = x/15
x = 25
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