Answer:
It will take 11 weeks of saving to buy the bicycle
Step-by-step explanation:
The Total amount he has saved for the bicycle can be expressed as;
Total amount saved=Initial amount he has+(savings per week×number of weeks)
where;
Initial amount he has=$140
Savings per week=$25
Number of weeks=w
Total amount saved=s(w)
replacing;
s(w)=140+(25×w)
The equation to get the total amount he has saved is;
s(w)=25 w+140....equation 1
Equation 1 above is a linear equation which can be written in the form;
y=mx+c
where;
y=s(w)
m=slope=25
x=the variable=w
c=y-intercept:the value of s(w), when w=o
s(w)=(25×0)+140=140
a). slope=25, y-intercept=140
b). Linear function is one of the form y=mx+c as explained above;
In our case, the linear function will be:
s(w)=25 w+140
c). Now that we have the function s(w)=25 w+140
In order to save to buy the bicycle;
we equate
s(w)=415 and solve for w;
415=25 w+140
25 w=(415-140)
25 w=275
w=275/25
w=11
It will take 11 weeks of saving to buy the bicycle
