Answer:
C) 7=y=5x+11
B) m=-4/5, b=13/5
Step-by-step explanation:
<u>Problem 1:</u>
A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.
<u>Problem 2:</u>
Convert to slope-intercept form (y=mx+b):
4x+5y=13
5y=13-4x
y=13/5-4/5x
y=-4/5x+13/5
Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.
Answer:
50
Step-by-step explanation:
Answer:
1.67miles/hour
Step-by-step explanation:
Speed of the penguin = Distance/Time taken
Given
Distance = 1/3 mile
Time = 1/5 hour
Substitute the given data into the speed formula;
Speed = (1/3)/(1/5)
Speed = 1/3 * 5/1
Speed = 5/3
Speed = 1.67miles/hour
Hence the penguin speed in mi/hr is 1.67mi/hr
The price of ticket last year is $ 1231.65
<em><u>Solution:</u></em>
Given that,
This year, Sophia paid $1,071 for season tickets to her favorite baseball team , which is 15% cheaper than last year
To find: Price of season ticket last year
Let the price of season ticket last year be "x"
Therefore, according to question
Price of ticket this year is 15 % cheaper than price of ticket last year
1071 = price of ticket last year - 15 % of 1071
1071 = x - 15 % of 1071
Solve the above expression for "x"
![1071 = x - 15 \% \times 1071\\\\1071 = x - \frac{15}{100} \times 1071\\\\1071 = x - 0.15 \times 1071\\\\1071 = x - 160.65\\\\x = 1071 + 160.65\\\\x = 1231.65](https://tex.z-dn.net/?f=1071%20%3D%20x%20-%2015%20%5C%25%20%5Ctimes%201071%5C%5C%5C%5C1071%20%3D%20x%20-%20%5Cfrac%7B15%7D%7B100%7D%20%5Ctimes%201071%5C%5C%5C%5C1071%20%3D%20x%20-%200.15%20%5Ctimes%201071%5C%5C%5C%5C1071%20%3D%20x%20-%20160.65%5C%5C%5C%5Cx%20%3D%201071%20%2B%20160.65%5C%5C%5C%5Cx%20%3D%201231.65)
Thus price of ticket last year is $ 1231.65