Answer:
Her account balance will be $2,080 at the end of the year
Step-by-step explanation:
Let
y ----> Susannah's account balance
x ---> is the amount of time in months
we have
This is a linear equation in slope intercept form
where
The slope or unit rate is equal to
The y-intercept or initial value is equal to
Remember that
One year is equal to 12 months
so
For x=12 months
substitute in the linear equation
Answer:
His average speed on the second day is 35 miles per hour.
Step-by-step explanation:
Consider the provided information.
On first day, he drove 2 hours longer than he drove on second day.
Let x = Number of hours he drove on second day.
Then x + 2 = Number of hours he drove on first day.
It is given that he drove a total of 18 hours.
Therefore,
He drove 8 hours on second day.
x + 2 = 8+2=10
He drove 10 hours on first day.
Let y = speed driven on second day.
y + 5 = speed driven on first day.
As we know: Distance = speed × time
On first day he covers a distance of:
Distance = 10(y+5)
On second day he covers a distance of:
Distance = 8(y)
Total distance = Day 1 distance + Day 2 distance
Hence, his average speed on the second day is 35 miles per hour.