#1a) almost. You need a variable x. You have implicitly assigned x=1. Try
f(x) = 14+0.46x
b) f(15) = 14 + 0.46*15 = 20.9
weren't you suspicious when (b) was the same value as (a) ?
#2 a) The % changed by 9.8-14.5 = -4.7 in 10 years.
That is a -0.47% change each year. So,
f(x) = 14.5 - 0.47x
b) so now find f(16) as above
#3 correct, but most people would just write it as
y = b
#4 correct, but you don't really need to use b.
the y-intercept is the point (0,9)
or, since we assume the y-axis, just y=9
Can someone check my answers for the following questions?
1) During the period 2010-2018 per capita consumption of honey increased from 14 ounces in 2010 (x=0) by 0.56 ounces per year.
a) Find a linear function, f(x) giving the per capita consumption of honey in the year x, where x=0 corresponds to the beginning of 2010.
b) If this trend continues, what will be the per capita consumption of honey in the beginning of 2025?
a) 14+0.46=14.56
f(0) = a0+14=14.56 i don't know if it is set up right
b) f(15) =15a+14=14.56
2) The percentage of high school students who drink and drive was 14.5% at the beginning of 2004 and declined linearly to 9.8% at the beginning of 2014.
a) Find a linear ft giving the percentage of high school students who drink and drive in year t where t=0 corresponds to the beginning of 2004.
b) If this trend continues, what will the percentage of high school students who will drink and drive be at the beginning of 2020?
a)f(0) = a0+b=14.5
2014-2004=10
f(10) =10a+14.5%=9.8
b)2020-2004=16
f(16)=16a+14.5%=9.8
3) Find the equation of the line passing through the point (a,b) with slope equal to zero.
y=0x+b
4) a) Find the vertical line through the point (2,5)
b) Find the y-intercept if the line y=9.
a) x=2
b) b=9
2 answers
Oh. Above was when I was trying to make sense of the way they taught me but your way makes more sense. Thank you.
1 answer