Hugo decided to pay $2 a week to his brother to buy a bicycle. the equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
how much did the bicycle cost?

after how many weeks will hugo finish paying for the bike?

Let

x------> is the number of weeks

y-----> is the amount of money

we know that

the equation that represent the situation is

Step 1

Part a) How much did the bicycle cost?

Find the y-intercept of the linear equation

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For

substitute in the linear equation

therefore

the answer part a) is

Step 2

Part b) After how many weeks will Hugo finish paying for the bike?

Find the x-intercept of the linear equation

we know that

The x-intercept is the value of x when the value of y is equal to zero

so

For

substitute in the linear equation

therefore

the answer part b) is

step-by-step explanation:

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -