Julio plans a diet to gain 0.2 kg a day. After 14 days he weighs 40 kg. Write an equation in slope intercept form to model the situation and define your variables.
Answers
Answer:
Step-by-step explanation:
Julio plans to gain 0.2 kg a day, so the rate of increase of weight is 0.2 kg per day.
The slope intercept form of an equation can be written as,
In our case, 'y' is the total weight, 'x' is the number of days, 'm' is the slope and 'c' is the initial weight.
It is found out that after 14 days he weighs 40 kg. So over 14 days Julio must have gained,
because he is gaining 0.2 kg per day after the diet plan. So initially (14 days ago) Julio weighed,
Now, we know the slope that is rate of change and that is 0.2 kg per day. We can form the equation as,
As we have already defined that 'y' is the final weight, 'x' is the number of days and 'c' (37.2) is the initial weight of Julio.
So the required equation is, .
Final answer:
The equation in slope-intercept form that models Julio's situation is y = 0.2x + 37.2, with x representing the number of days and y representing Julio's weight in kg.
Explanation:
To write an equation in slope-intercept form that models Julio's situation, we can define the variables as follows:
Let x represent the number of days and y represent Julio's weight in kg.
Given that Julio plans to gain 0.2 kg a day and after 14 days he weighs 40 kg, the equation would be:
y = 0.2x + b
To find the y-intercept (b), we substitute the given values:
40 = 0.2(14) + b
Solving for b, we get:
b = 40 - 2.8
b = 37.2
Therefore, the equation in slope-intercept form that models Julio's situation is:
y = 0.2x + 37.2
Learn more about Equation in slope-intercept form here:
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At the movies, Liz eats 1/4 of a box of popcorn. Her friend Kyra eats 2 times a small much as Lizard eats. How much of a box of popcorn does Kyra eat?
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What times 10 equals 400
b. How many ski trips do you take if you spend a total of $315? $485?
Answers
Answer:
a. x = (C — 60) / 85
bi. 3
bii. 5
Step-by-step explanation:
a. C = 85x + 60
C — 60 = 85x
x = (C — 60) / 85
bi. When C = $315,
x = (C — 60) / 85
x = (315 — 60) / 85
x = 225/ 85
x = 3
bii. When C = $485
x = (C — 60) / 85
x = (485 — 60) / 85
x = 425/ 85
x = 5
Answers
The price of the robotics kits after both discounts is $25.5
What is a discount price?
The price at which something is sold, after reducing some amount from the regular price, is called discount price.
Given that, you have a coupon for an additional 25% off the price of any sale item at the store. the store has put a robotics kit on sale for 15% off the original price of $40.
Here, two discounts are given, at 25% and at 15%
Therefore, the selling price (price after the discounts) = 40x(100-25)/100x(100-15)/100
= 40x75/100x85/100
= 51/2
= 25.5
Hence, the price after the discounts is $25.5
For more references on discount price, click;
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40 * 15% =
= 40 * 15/100 =
= 40 * 3/20 =
= 2 * 3/1 =
= 2 * 3 =
= 6 [dollars]
So the kit costed $40 - $6 = $34 after the first general discount. Now the question is if the coupon relates to the original price or to the lowered price. We'll do both:
If it relates to the original price, we need to find how much is 25% of $40. We can do it in mind - it's $10. So with two discounts the price would be $40 - $6 - $10 = $24.
However, if it relates to the lowered price, we need to find how much is 25% from $34:
34 * 25% =
= 34 * 25/100 =
= 34 * 1/4 =
= 8.5 [dollars]
So the final price in such a situation would be $40 - $6 - $8.5 = $25.5.
Answers
Answer:
The possibility is 1/4, with 1 representingboth coins tails up, and the 4 representing all the outcomes possible.
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
go away trumpducks!
Answers
r=(1/2)d = (1/2)30 = 15 inches
Then, to find the volume, you just multiply by the height of the fish tank.
The answer, then, is 25446.9005 cubic inches (or just 8100
Answers
Answers
Trapezoidal prism: base area = 34 in² ; height = 5 in
Triangular prism: base area = 35 in² ; height = 6 in
Volume of Trapezoidal prism = base area * height
V = 34 in² x 5 in
V = 170 in³
Volume of Triangular prism = base area * height
V = 35 in² x 6 in
V = 210 in³
The TRIANGULAR prism is a better deal because you get 210 inches cubed for the same price you would pay for 170 inches cubed with a TRAPEZOIDAL prism.
Answer:
triangular
Step-by-step explanation: