Step-by-step explanation:
first u need to pick a random coordinate to substitute the X . example 0
y = 2(0) + 1
y =1 , X= 0
X= 1
y= 2(1) + 1
y= 3, X= 1
then you continue this same process and again until u have at least two points to draw a straight line. it kinda depended if u want to fill the entire graph.
Answer:
we conclude that the relationship between distance and time is NOT proportional.
Hence, she did not drive at a constant speed.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality.
In our case, the table shows the distance Allison drove on one day of her vacation.
Time (h) 1 2 3 4 5
Distance (mi) 55 100 165 280 250
using the equation
k = y/x
susbtitute y = 55, x = 1
k = 55/1 = 55
substitute y = 100, x = 2
k = y/x
k = 100 / 2 = 50
substitute y = 165, x = 3
k = y/x
k = 165 / 3 = 55
substitute y = 280, x = 4
k = y/x
k = 280 / 4 = 70
substitute y = 250, x = 5
k = y/x
k = 250 / 5 = 50
It is clear that the value of 'k' does not remain constant.
Therefore, we conclude that the relationship between distance and time is NOT proportional.
Hence, she did not drive at a constant speed.
Answer:
Ok so the original bill you full out is $32.00 in that box. and the next box put 15% of $32
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
