Aditi is participating in a walkathon fundraiser. Two anonymous donors agree to donate money according to the distance she walks. The money, A, in dollars, that she receives from the first donor for walking d kilometers is given by the formula A(d)=12d. The total money, T, in dollars, that she receives from both donors for walking d kilometers is given by the formula T(d)=d2+20d.Let B be the money that Aditi receives from the second donor for walking d kilometers.Write a formula for B(d) in terms of A(d) and d0.B(d)=Write a formula for B(d) in terms of d.B(d)=□
Q. Aditi is participating in a walkathon fundraiser. Two anonymous donors agree to donate money according to the distance she walks. The money, A, in dollars, that she receives from the first donor for walking d kilometers is given by the formula A(d)=12d. The total money, T, in dollars, that she receives from both donors for walking d kilometers is given by the formula T(d)=d2+20d.Let B be the money that Aditi receives from the second donor for walking d kilometers.Write a formula for B(d) in terms of A(d) and d0.B(d)=Write a formula for B(d) in terms of d.B(d)=□
Given Formulas: We are given two formulas:1. A(d)=12d, which represents the money Aditi receives from the first donor for walking d kilometers.2. T(d)=d2+20d, which represents the total money Aditi receives from both donors for walking d kilometers.We need to find the formula for B(d), which represents the money Aditi receives from the second donor for walking d kilometers.To find B(d), we subtract A(d) from T(d) because B(d) is the difference between the total amount received and the amount received from the first donor.
Finding B(d): Let's perform the subtraction:B(d)=T(d)−A(d)B(d)=(d2+20d)−(12d)Now, we simplify the expression by combining like terms.
Performing Subtraction: After simplifying, we get:B(d)=d2+20d−12dB(d)=d2+8dThis is the formula for B(d) in terms of d.
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