Albert needs $133 to buy a new hard drive. He earns $4.75 for each car he washes. If he spends $19 in supplies, write and solve
1 answer:
Answer:
Albert needs 32 cars to wash to reach his goal.
Step-by-step explanation:
We know that the slope-intercept form of a linear function is
where m is the slope or rate of change and b is the y-intercept
It is stated that Albert needs $133 to buy a new hard drive.
- Let 'y' be the amount Albert needs.
As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.
As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.
Let 'x' be the number of cars he needs to wash to reach his goal.
Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function
y = mx+b
133 = 4.75x - 19
133+19 = 4.75x
152 = 4.75x
x = 152 / 4.75
x = 32
Therefore, Albert needs 32 cars to wash to reach his goal.
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The number is written in the form where we have
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
- Better readability due to compact representation
- Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
For the given case, the number in consideration is 0.0000069
Rewriting it in fraction form, we get:
(we used two facts: first that :
and second that:
Thus, the value of the given number in scientific notation is given by: Option B:
Learn more about scientific notations here: